Verfügbarkeit: Special functions | Technische Universität München

Special functions:

Gespeichert in:

Bibliographische Detailangaben
Beteiligte Personen:	Wang, Z. X. (VerfasserIn), Guo, D. R. (VerfasserIn)
Format:	Buch
Sprache:	Englisch Chinesisch
Veröffentlicht:	Singapore [u.a.] World Scientific 1989
Schlagwörter:	Fonctions spéciales Funcoes (matematica) Functions, Special Spezielle Funktion Funktion > Mathematik Analysis
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002537942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Aus dem Chines. übers.
Umfang:	XVI, 695 S.
ISBN:	9971506599 997150667X

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV004058289
003	DE-604
005	20021023
007	t\|
008	901002s1989 xx \|\|\|\| 00\|\|\| eng d
020			\|a 9971506599 \|9 9971-50-659-9
020			\|a 997150667X \|9 9971-50-667-X
035			\|a (OCoLC)243435756
035			\|a (DE-599)BVBBV004058289
040			\|a DE-604 \|b ger \|e rakwb
041	1		\|a eng \|h chi
049			\|a DE-12 \|a DE-91 \|a DE-824 \|a DE-703 \|a DE-706 \|a DE-11 \|a DE-739 \|a DE-188
050		0	\|a QA331
050		0	\|a QC20.7.F87
082	0		\|a 515/.5 \|2 20
084			\|a SK 680 \|0 (DE-625)143252: \|2 rvk
084			\|a MAT 330f \|2 stub
100	1		\|a Wang, Z. X. \|e Verfasser \|4 aut
245	1	0	\|a Special functions \|c Z. X. Wang ; D. R. Guo
264		1	\|a Singapore [u.a.] \|b World Scientific \|c 1989
300			\|a XVI, 695 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
500			\|a Aus dem Chines. übers.
650		7	\|a Fonctions spéciales \|2 ram
650		7	\|a Funcoes (matematica) \|2 larpcal
650		4	\|a Functions, Special
650	0	7	\|a Spezielle Funktion \|0 (DE-588)4182213-4 \|2 gnd \|9 rswk-swf
650	0	7	\|a Funktion \|g Mathematik \|0 (DE-588)4071510-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Analysis \|0 (DE-588)4001865-9 \|2 gnd \|9 rswk-swf
689	0	0	\|a Funktion \|g Mathematik \|0 (DE-588)4071510-3 \|D s
689	0		\|5 DE-604
689	1	0	\|a Spezielle Funktion \|0 (DE-588)4182213-4 \|D s
689	1		\|5 DE-604
689	2	0	\|a Spezielle Funktion \|0 (DE-588)4182213-4 \|D s
689	2	1	\|a Analysis \|0 (DE-588)4001865-9 \|D s
689	2		\|5 DE-604
700	1		\|a Guo, D. R. \|e Verfasser \|4 aut
856	4	2	\|m Digitalisierung UB Passau \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002537942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-002537942

Datensatz im Suchindex

DE-BY-TUM_call_number	0202 MAT 330f 2002 A 1169
DE-BY-TUM_katkey	502041
DE-BY-TUM_location	02
DE-BY-TUM_media_number	040020750723
_version_	1821938959127674880
adam_text	CONTENTS Preface ............................. v Chapter 1. THE EXPANSION OF FUNCTIONS IN INFINITE SERIES AND INFINITE PRODUCTS 1.1. Bernoulli Polynomials and Bernoulli Numbers ......... 1 1.2. Euler Polynomials and Euler Numbers ............. 5 1.3. Euler-Maclaurin Formula ................... 8 1.4. Lagrange s Expansion Formula ............... 14 1.5. Expansion of Meromorphic Functions in Rational Fractions ... 17 1.6. Infinite Product ...................... 21 1.7. The Expansion of a Function in Infinite Product. Weierstrass Theorem .................... 25 1.8. Asymptotic Expansion ................... 29 1.9. The Asymptotic Expansion of the Laplace Integral, Watson s Lemma ..................... 34 1.10. Expansion in Terms of Functions of an Orthonormal Set .... 36 Exercise 1...........................41 Chapter 2. LINEAR ORDINARY DIFFERENTIAL EQUATIONS OF THE SECOND ORDER 2.1. Singular Points of Linear Ordinary Differential Equations of the x Special Functions Second Order ....................... 47 2.2. Solution of the Equation in the Vicinity of an Ordinary Point . . 48 2.3. Solutions of the Equation in the Vicinity of a Singular Point . . 51 2.4. Regular Solution. Regular Singularities ........... 55 2.5. Frobenius Method ..................... 61 2.6. Point at Infinity ....................· · 63 2.7. Equations of Fuchsian Type ................. 64 2.8. Equations of Fuchsian Type Having Five Regular Singular Points 66 2.9. Equations of Fuchsian Type Having Three Regular Singularities . 68 2.10. Irregular Singularities. Formal Regular Solution ........ 71 2.11. Irregular Singularities. Normal Solutions and Subnormal Solutions ......................... 73 2.12. Method of Solution by Integrals. Basic Principle ....... 78 2.13. Equations of Laplacian Type and Laplace Transform ..... 81 2.14. Euler Transform ...................... 85 Exercise 2........................... 88 Chapter 3. THE GAMMA FUNCTION 3.1. Definition of the Gamma Function .............. 93 3.2. Recurrence Relation .................... 94 3.3. The Infinite-Product Expression of Euler ........... 95 3.4. Weierstrass Infinite Product ................ 97 3.5. Relation between the Г -Function and the Trigonometric Function ......................... 98 3.6. Multiplication Formula ................... 99 3.7. Contour Integral ...................... 101 3.8. Euler Integral of the First Kind. B-Function ......... 103 3.9. Double-Contour Integral .................. 105 3.10. Dirichlet Integral ..................... 106 3.11. Logarithmic Derivative of the Г -Function ........... 107 3.12. Asymptotic Expansions ................... Ill 3.13. Another Derivation of the Asymptotic Expansion ....... 112 3.14. Riemann ^-Function .................... 114 3.15. The Functional Equation of the ς- Function .......... 115 3.16. The Value of f(s,a) when s is an Integer .......... Ц7 3.17. Hermite Formula ..................... ng 3.18. Relation to the Γ- Function ................. 120 3.19. Euler Product of the f-Function ............... 123 3.20. Riemann Integral of the ^-Function ............. 124 Contents xi 3.21. Another Derivation of the Asymptotic Expansion of the T-Function ........................125 3.22. Evaluation of the ^-Function ................128 Exercise 3........................... 128 Chapter 4. HYPERGEOMETRIC FUNCTION 4.1. Hypergeometric Series and Hypergeometric Function ...... 135 4.2. Recurrence Relations .................... 137 4.3. Other Solutions of the Hypergeometric Equation Expressed in Terms of Hypergeometric Functions ............. 139 4.4. The Second Solution of the Hypergeometric Equation when the Difference of the Exponents is an Integer ........... 144 4.5. Integral Representations of the Hypergeometric Function .... 150 4.6. Barnes Integral Representation of the Hypergeometric Function . 153 4.7. The Value of F(a,ß, 7,1) ................. 156 4.8. Connections between the Fundamental Solutions at the Singular Points 0,1, 00. Analytic Continuation ............ 159 4.9. When 7-а- β, α- β are Integers ............. 162 4.10. Jacobi Polynomials ..................... 169 4.11. Chebyshev Polynomials ................... 173 4.12. Quadratic Transformations ................. 177 4.13. Kummer s Formula and Summation Formula Derived from It . . 184 4.14. Asymptotic Expansions for Large Parameters ......... 186 4.15. Generalized Hypergeometric Series .............. 189 4.16. Hypergeometric Series with Two Variables .......... 191 4.17. The Transformation Formulae of Fi and F2 ......... 195 4.18. Reducible Cases ...................... 197 Exercise 4 ........................... 202 Chapter б. LEGENDRE FUNCTIONS 5.1. Legendre Equation ..................... 210 5.2. Legendre Polynomials .........,...,.,., 212 5.3. The Generating Function of Pn(x). Rodrigues Formula , , , , , 215 5.4. Integral Representations of Pn (ж) .............. 216 5.5. Recurrence Relations of Pn (%) ........... 218 5.6. Legendre Polynomials as a Complete Set of Orthonormal Functions ......................... 219 5.7. Zeros of Pn(x) .............,..,,...,. 223 5.8. Legendre Functions of the Second Kind, Qn (x) ........ 224 xü Special Functions 5.9. Recurrence Relations of Qn{x) ................ 5.10. Expansion of the Function (i - t) 1 in Terms of Legendre Functions. Neumann Expansion ...............231 5.11. Associate Legendre Functions P¡m(x) .............233 5.12. Orthogonality Relations of Ρ, 1 (ζ) ..............235 5.13. Recurrence Relations for P,m(z) and QŢ{x) .......... 239 5.14. Addition Formula ..................... 241 5.15. Spherical Surface Harmonics ¥іт(в,<р) ...........244 5.16. The General Associate Legendre Functions P£{z) ....... 247 5.17. Q4(z) .......................... 251 5.18. Definition of PP{x) on the Cut: -oo < χ < 1.........255 5.19. Definition of Qa(x) on the Cut: -oo < χ < 1...... . . . 258 5.20. Other Integral Expressions for Pu (z) and P? {z) ........ 262 5.21. Addition Formulae ..................... 267 5.22. Asymptotic Expansions of P£(cos0) and Q£(cos0) when v -» oo . 270 5.23. Ultra-Spherical Polynomials C* (x) .............274 Exercise 5...........................277 Chapter 6. CONFLUENT HYPERGEOMETRIC FUNCTIONS 6.1. Confluent Hypergeometric Functions ............ . 296 6.2. Relations among the Consecutive Functions ..........299 6.3. Whittaker Equation and Whittaker Functions Mk,m(z) ..... 300 6.4. Integral Representations ..................302 6.5. Whittaker Functions Wk<m(z) ................305 6.6. Asymptotic Expansion of W/cim (2) when г —» oo ........307 6.7. Barnes Integral Representation of Wk,m(z) .......... 310 6.8. Relations between W±k<m{±z) and M±k,±m{±z). Asymptotic Expansion of F(a, η,ζ). Stokes Phenomenon ......... 313 6.9. The Case when 7 (or 2m) is an Integer ............ 316 6.10. The Asymptotic Expansions of F(a, η,ζ) for Large \|a\|, j-yj . . .318 6.11. Differential Equations Reducible to the Confluent Hypergeometric Equation ......................... 318 6.12. Weber Equation. Parabolic Cylinder Functions Dn(z) ..... 320 6.13. Hermite Functions and Hermite Polynomials ......... 325 6.14. Laguerre Polynomials ................... 327 6.15. Other Special Functions Expressible by Whittaker Functions . . 332 Exercise 6....................... 335 Contents xiii Chapter 7. BESSEL FUNCTIONS 7.1. Bessel Equation. Its Relation to the Confluent Hypergeometric Equation .........................345 7.2. Bessel Functions of the First Kind: J±u(z), 2v φ integer .... 347 7.3. Bessel Functions of Order Half an Odd Integer: Jn+i (г) (n = 0,±l,±2,...) ........... . . . . . . . , .350 7.4. Integral Representations of Ju(z) .............. 351 7.5. Bessel Functions of Integral Order Jn(z)(n — 0,1,2,...) . , . .359 7.6. Bessel Functions of the Second Kind Yu (z) .......... 365 7.7. Bessel Functions of the Third Kind (Hankel Functions) НІ1)(г),Нр г) ...................... 368 7.8. Modified (or Imaginary Argument) Bessel Functions Iu{z) and Ku(z). Thomson Functions Ьегу(г) and bei„(z); etc. ...... 374 7.9. Spherical Bessel Functions ji{z),ni[z),h l z), h^ z) . . . . . 376 7.10. Asymptotic Expansions for the Case ¡ar\| —»■ oo .........378 7.11. The Method of Steepest Descent ............... 381 7.12. Asymptotic Expansions of Bessel Functions of Order и for Large v and \|г\| ........................384 7.13. Addition Formulae .....................395 7.14. Integrals Containing Bessel Functions. (1) Finite Integrals . . . 399 7.15. Integrals Containing Bessel Functions. (2) Infinite Integrals . . . 401 7.16. Neumann Expansion ....................412 7.17. Kapteyn Expansion .................... 415 7.18. The Zeros of Bessel Functions ................ 420 7.19. Fourier-Bessel Expansion .................. 424 Exercise 7........................... 425 Chapter 8. WEIERSTRASS ELLIPTIC FUNCTIONS 8.1. Elliptic Integrals and Elliptic Functions ............ 456 8.2. The Periods of Elliptic Integrals ............... 460 8.3. The General Properties of Doubly-Periodic Functions and Elliptic Functions .................... 462 8.4. The Function p(z) ................... 466 8.5. Algebraic Relation between p(z) and p (z) ..,.., , . , 468 8.6. The Function ζ(ζ) .................,,,. 471 8.7. The Function σ{ζ) ..................... 473 8.8. Homogeneity of the Weierstrass Elliptic Function ....... 476 8.9. Representations of a General Elliptic Function ...,...,. 476 8.10. Addition Formulae ..................... 481 xiv Special Functions 8.11. Expressing the Coordinates of a Cubic Curve by Elliptic Functions ........... ..........485 8.12. The Problem of a Quartic Polynomial ............486 8.13. Curves of Genus (Deficiency) 1 ...............489 Exercise 8.......................... . 493 Chapter 9. Theta Functions 9.1. The Theta Function θ(ν) .................. 498 9.2. The Functions âh(v) .................... 500 9.3. Elliptic Functions Represented by Theta Functions ....... 502 9.4. Relations among the Squares of #*(ν) ............ 503 9.5. Addition Formulae ..................... 504 9.6. Differential Equations Satisfied by Theta Functions ...... 506 9.7. The Values of Some Constants ................508 9.8. Legendre s Elliptic Integral of the First Kind ......... 510 9.9. Jacobi s Imaginary Transformation .............. 514 9.10. Transformation of Landen- Type ...............516 9.11. Representation of Theta Functions by Infinite Product .....517 9.12. Fourier Expansion of the Logarithmic Derivatives of Theta Functions .........................521 9.13. The Functions 0(u) and #(u) ................522 Exercise 9........................... 523 Chapter 10. JACOBIAN ELLIPTIC FUNCTIONS 10.1. Jacobian Elliptic Functions sn u, en u, dn u ......... 530 10.2. Geometric Representations of Jacobian Elliptic Functions . . . 532 10.3. Complete Elliptic Integrals ................. 535 10.4. Addition Formulae ................... . 537 10.5. The Periodicity of Jacobian Elliptic Functions ........ 539 10.6. The Zeros and Poles of Jacobian Elliptic Functions ...... 540 10.7. Transformations of Elliptic Functions ............ 542 10.8. Reductions of Elliptic Integrals .............. 545 10.9. Elliptic Integral of the Second Kind ............ 552 10.10. Elliptic Integral of the Third Kind ............. 553 10.11. Properties of the Function E(u) .............. 555 10.12. Differential Equations Satisfied by К and E with Respect to к and Expansions of К and E with Respect to к ...... 558 10.13. Relations between Jacobian Elliptic Functions and Theta Functions .............,.......... 561 Contents xv 10.14. Expressing Jacobian Elliptic Functions in Infinite Products and Fourier Series ......................566 Exercise 10........................... 569 Chapter 11. LAMÉ FUNCTIONS 11.1. Ellipsoidal Coordinates ...........,,, 575 11.2. Representing the Coordinates with Elliptic Functions , . . . , 578 11.3. Lamé Equation ...................... 580 11.4. Four Types of Lamé Functions .....,,,,,,.,., 583 11.5. Ellipsoidal Harmonics ................... 589 11.6. Niven s Representation .................. 591 11.7. On the Zeros of Lamé Polynomials ............. 595 11.8. Lamé Functions of the Second Kind ............. 597 11.9. Generalized Lamé Functions ................ 599 11.10. Integral Equations of Lamé Functions ............ 602 11.11. The Integral Representation of Ellipsoidal Harmonics ..... 604 Exercise 11...........................607 Chapter 12. MATHIEU FUNCTIONS 12.1. Mathieu Equation ....................610 12.2. General Properties of the Solution. Fundamental Solutions . . . 612 12.3. Floquet Solution ..................... 614 12.4. Periodic Solutions of Mathieu Equation ...........615 12.5. Fourier Expansion of the Floquet Solution .......... 617 12.6. Formulae for Computing Eigenvalues X(q) .......... 620 12.7. Mathieu Functions cem (z), m — 0,1,2,... and ѕе^г), m= 1,2,... ....................... 624 12.8. Expansion of u(q) in Powers of q .............. 627 12.9. Fourier Expansions of cem (z) and sem (z) for Small q ..... 630 12.10. Infinite Determinant ................. 632 12.11. НШ Equation ...,........,..,.,,.,,. 633 12.12. Stable and Unstable Solutions of Mathieu Equation., Stable Region and Unstable Region ......,,.., 637 12.13. Approximate Solutions oî Mathieu Equatio». for A > q : ι) , , 640 12.14. Integral Equations for Mathieu Functions .,,. = ,,,,, 643 Exercise 12 ...... .,........,,.,-,,.,., 646 Appendices Appendix I. Roots of a Cubic Equation .............. 654 xvi Special Functions Appendix II. Roots of the Quartic Equation ............656 Appendix III. Orthogonal Curvilinear Coordinate Systems ......658 Bibliography ..........................677 Glossary ............................679 Index ..... ........ ................ 683
any_adam_object	1
author	Wang, Z. X. Guo, D. R.
author_facet	Wang, Z. X. Guo, D. R.
author_role	aut aut
author_sort	Wang, Z. X.
author_variant	z x w zx zxw d r g dr drg
building	Verbundindex
bvnumber	BV004058289
callnumber-first	Q - Science
callnumber-label	QA331
callnumber-raw	QA331 QC20.7.F87
callnumber-search	QA331 QC20.7.F87
callnumber-sort	QA 3331
callnumber-subject	QA - Mathematics
classification_rvk	SK 680
classification_tum	MAT 330f
ctrlnum	(OCoLC)243435756 (DE-599)BVBBV004058289
dewey-full	515/.5
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.5
dewey-search	515/.5
dewey-sort	3515 15
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01887nam a2200517 c 4500</leader><controlfield tag="001">BV004058289</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20021023 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">901002s1989 xx \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9971506599</subfield><subfield code="9">9971-50-659-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">997150667X</subfield><subfield code="9">9971-50-667-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)243435756</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004058289</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">chi</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.F87</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.5</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 680</subfield><subfield code="0">(DE-625)143252:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 330f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Z. X.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Special functions</subfield><subfield code="c">Z. X. Wang ; D. R. Guo</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 695 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Chines. übers.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fonctions spéciales</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Funcoes (matematica)</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions, Special</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spezielle Funktion</subfield><subfield code="0">(DE-588)4182213-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktion</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4071510-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analysis</subfield><subfield code="0">(DE-588)4001865-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Funktion</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4071510-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Spezielle Funktion</subfield><subfield code="0">(DE-588)4182213-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Spezielle Funktion</subfield><subfield code="0">(DE-588)4182213-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Analysis</subfield><subfield code="0">(DE-588)4001865-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Guo, D. R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002537942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002537942</subfield></datafield></record></collection>
id	DE-604.BV004058289
illustrated	Not Illustrated
indexdate	2024-12-20T08:12:57Z
institution	BVB
isbn	9971506599 997150667X
language	English Chinese
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-002537942
oclc_num	243435756
open_access_boolean
owner	DE-12 DE-91 DE-BY-TUM DE-824 DE-703 DE-706 DE-11 DE-739 DE-188
owner_facet	DE-12 DE-91 DE-BY-TUM DE-824 DE-703 DE-706 DE-11 DE-739 DE-188
physical	XVI, 695 S.
publishDate	1989
publishDateSearch	1989
publishDateSort	1989
publisher	World Scientific
record_format	marc
spellingShingle	Wang, Z. X. Guo, D. R. Special functions Fonctions spéciales ram Funcoes (matematica) larpcal Functions, Special Spezielle Funktion (DE-588)4182213-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Analysis (DE-588)4001865-9 gnd
subject_GND	(DE-588)4182213-4 (DE-588)4071510-3 (DE-588)4001865-9
title	Special functions
title_auth	Special functions
title_exact_search	Special functions
title_full	Special functions Z. X. Wang ; D. R. Guo
title_fullStr	Special functions Z. X. Wang ; D. R. Guo
title_full_unstemmed	Special functions Z. X. Wang ; D. R. Guo
title_short	Special functions
title_sort	special functions
topic	Fonctions spéciales ram Funcoes (matematica) larpcal Functions, Special Spezielle Funktion (DE-588)4182213-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Analysis (DE-588)4001865-9 gnd
topic_facet	Fonctions spéciales Funcoes (matematica) Functions, Special Spezielle Funktion Funktion Mathematik Analysis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002537942&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT wangzx specialfunctions AT guodr specialfunctions

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Physik

Bestandsangaben von Teilbibliothek Physik
Signatur:	0202 MAT 330f 2002 A 1169 Lageplan
Exemplar 1	Ausleihbar Am Standort