Tables of Laplace Transforms:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1973
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-642-65645-3 |
| Beschreibung: | This material represents a collection of integrals of the Laplace- and inverse Laplace Transform type. The usef- ness of this kind of information as a tool in various branches of Mathematics is firmly established. Previous publications include the contributions by A. Erdelyi and Roberts and Kaufmann (see References). Special consideration is given to results involving higher functions as integrand and it is believed that a substantial amount of them is presented here for the first time. Greek letters denote complex parameters within the given range of validity. Latin letters denote (unless otherwise stated) real positive parameters and a possible extension to complex values by analytic continuation will often pose no serious problem. The authors are indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manu script. Oregon State University Corvallis, Oregon Eastern Michigan University Ypsilanti, Michigan The Authors Contents Part I. Laplace Transforms In troduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Algebraic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 3 Powers of Arbitrary Order. . . . . . . . . . . . . . . . . . . . . . . . 21 1. 4 Sectionally Rational- and Rows of Delta Functions 28 1. 5 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1. 6 Logarithmic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 1. 7 Trigonometric Functions. . . . . . . . . . . . . . . . . . . . . . . . . . 54 1. 8 Inverse Trigonometric Functions. . . . . . . . . . . . . . . . . . 81 1. 9 Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 1. 10 Inverse Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . 99 1. 11 Orthogonal Polynomials . . . . . . . •. . . . . . . . . . . . . . . . . . . 103 1. 12 Legendre Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 1. 13 Bessel Functions of Order Zero and Unity . . . . . . . . . 119 1. 14 Bessel Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 1. 15 Modified Bessel Functions . . . . . . . . . . . . . . . . . . . . . . . |
| Umfang: | 1 Online-Ressource (VIII, 430 p) |
| ISBN: | 9783642656453 9783540063506 |
| DOI: | 10.1007/978-3-642-65645-3 |
Internformat
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| 245 | 1 | 0 | |a Tables of Laplace Transforms |c by Fritz Oberhettinger, Larry Badii |
| 264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1973 | |
| 300 | |a 1 Online-Ressource (VIII, 430 p) | ||
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| 500 | |a This material represents a collection of integrals of the Laplace- and inverse Laplace Transform type. The usef- ness of this kind of information as a tool in various branches of Mathematics is firmly established. Previous publications include the contributions by A. Erdelyi and Roberts and Kaufmann (see References). Special consideration is given to results involving higher functions as integrand and it is believed that a substantial amount of them is presented here for the first time. Greek letters denote complex parameters within the given range of validity. Latin letters denote (unless otherwise stated) real positive parameters and a possible extension to complex values by analytic continuation will often pose no serious problem. The authors are indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manu script. Oregon State University Corvallis, Oregon Eastern Michigan University Ypsilanti, Michigan The Authors Contents Part I. | ||
| 500 | |a Laplace Transforms In troduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Algebraic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 3 Powers of Arbitrary Order. . . . . . . . . . . . . . . . . . . . . . . . 21 1. 4 Sectionally Rational- and Rows of Delta Functions 28 1. 5 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1. 6 Logarithmic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 1. 7 Trigonometric Functions. . . . . . . . . . . . . . . . . . . . . . . . . . 54 1. 8 Inverse Trigonometric Functions. . . . . . . . . . . . . . . . . . 81 1. 9 Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 1. 10 Inverse Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . 99 1. 11 Orthogonal Polynomials . . . . . . . •. . . . . . . . . . . . . | ||
| 500 | |a . . . . . . 103 1. 12 Legendre Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 1. 13 Bessel Functions of Order Zero and Unity . . . . . . . . . 119 1. 14 Bessel Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 1. 15 Modified Bessel Functions . . . . . . . . . . . . . . . . . . . . . . . | ||
| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2069892 |
|---|---|
| _version_ | 1821931351680483328 |
| any_adam_object | |
| author | Oberhettinger, Fritz |
| author_facet | Oberhettinger, Fritz |
| author_role | aut |
| author_sort | Oberhettinger, Fritz |
| author_variant | f o fo |
| building | Verbundindex |
| bvnumber | BV042422883 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184437910 (DE-599)BVBBV042422883 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-65645-3 |
| format | Electronic eBook |
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| id | DE-604.BV042422883 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:47Z |
| institution | BVB |
| isbn | 9783642656453 9783540063506 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858300 |
| oclc_num | 1184437910 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (VIII, 430 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| spellingShingle | Oberhettinger, Fritz Tables of Laplace Transforms Mathematics Mathematics, general Mathematik Tabelle (DE-588)4184303-4 gnd Laplace-Transformation (DE-588)4034577-4 gnd |
| subject_GND | (DE-588)4184303-4 (DE-588)4034577-4 |
| title | Tables of Laplace Transforms |
| title_auth | Tables of Laplace Transforms |
| title_exact_search | Tables of Laplace Transforms |
| title_full | Tables of Laplace Transforms by Fritz Oberhettinger, Larry Badii |
| title_fullStr | Tables of Laplace Transforms by Fritz Oberhettinger, Larry Badii |
| title_full_unstemmed | Tables of Laplace Transforms by Fritz Oberhettinger, Larry Badii |
| title_short | Tables of Laplace Transforms |
| title_sort | tables of laplace transforms |
| topic | Mathematics Mathematics, general Mathematik Tabelle (DE-588)4184303-4 gnd Laplace-Transformation (DE-588)4034577-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Tabelle Laplace-Transformation |
| url | https://doi.org/10.1007/978-3-642-65645-3 |
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