Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch Russisch |
| Veröffentlicht: |
New York, NY
Gordon & Breach Science Publishers
1961
|
| Schriftenreihe: | Russian Tracts on Advanced Mathematics and Physics
4 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005306944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Aus dem Russischen übersetzt |
| Umfang: | X, 181 Seiten |
Internformat
MARC
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| 100 | 1 | |a Evgrafov, Marat Andreevič |d 1926-1997 |e Verfasser |0 (DE-588)127119396 |4 aut | |
| 240 | 1 | 0 | |a Asimptotičeskie ocenki i cel'e funkcii |
| 245 | 1 | 0 | |a Asymptotic estimates and entire functions |c by M. A. Evgrafov. Translated by Allen L. Shields, Department of Mathematics, University of Michigan |
| 264 | 1 | |a New York, NY |b Gordon & Breach Science Publishers |c 1961 | |
| 300 | |a X, 181 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Russian Tracts on Advanced Mathematics and Physics |v 4 | |
| 500 | |a Aus dem Russischen übersetzt | ||
| 650 | 4 | |a Asymptotic expansions | |
| 650 | 4 | |a Functions, Entire | |
| 650 | 0 | 7 | |a Funktionentheorie |0 (DE-588)4018935-1 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Russian Tracts on Advanced Mathematics and Physics |v 4 |w (DE-604)BV001889211 |9 4 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-005306944 | |
Datensatz im Suchindex
| _version_ | 1819292989102489600 |
|---|---|
| adam_text | Contents
Translator s Preface v
Introduction vii
Chapter I
Methods of obtaining asymptotic estimates
§1. The simplest examples of asymptotic estimates and
the concept of an asymptotic series 1
§2. The Euler Maclaurin summation formula 9
§3. The Laplace method for asymptotic estimation of
integrals 17
§4. The method of generating functions 28
§5. The saddlepoint method 42
Chapter II
Basic material from the theory of entire
functions
§1. The concept of the order of growth 51
§2. The connection between the rate of growth of an en¬
tire function and the rate of decrease of its coefficients 57
§3. The connection between the rate of growth of an
entire function and the number of zeros 69
§4. Entire functions with regularly distributed zeros.... 82
§5. The Phragmen Lindelof principle and the growth of
an entire function in different directions 95
§6. The connection between the indicator function and
the distribution of zeros 105
§7. The Borel transform 119
ix
X CONTENTS
Chapter III
Special cases of asymptotic estimates
§1. Estimates of entire functions of the form
en oo
F {:) = J :, (t) e dt, F(t)= J |i (t)e* dt ... 127
u co
§2. The Poisson summation formula and estimates of
no
functions of the form F{z)= ^j I1 ( )?n 137
§3. Functions of the form
» 1 i 1
§4. Asymptotic estimates of the zeros of entire functions. 168
Bibliography 179
Index 181
|
| any_adam_object | 1 |
| author | Evgrafov, Marat Andreevič 1926-1997 |
| author_GND | (DE-588)127119396 |
| author_facet | Evgrafov, Marat Andreevič 1926-1997 |
| author_role | aut |
| author_sort | Evgrafov, Marat Andreevič 1926-1997 |
| author_variant | m a e ma mae |
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| dewey-full | 517 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517 |
| dewey-search | 517 |
| dewey-sort | 3517 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV008064345 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:15:50Z |
| institution | BVB |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005306944 |
| oclc_num | 1338858 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-19 DE-BY-UBM DE-188 |
| owner_facet | DE-20 DE-29T DE-19 DE-BY-UBM DE-188 |
| physical | X, 181 Seiten |
| publishDate | 1961 |
| publishDateSearch | 1961 |
| publishDateSort | 1961 |
| publisher | Gordon & Breach Science Publishers |
| record_format | marc |
| series | Russian Tracts on Advanced Mathematics and Physics |
| series2 | Russian Tracts on Advanced Mathematics and Physics |
| spellingShingle | Evgrafov, Marat Andreevič 1926-1997 Asymptotic estimates and entire functions Russian Tracts on Advanced Mathematics and Physics Asymptotic expansions Functions, Entire Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4018935-1 |
| title | Asymptotic estimates and entire functions |
| title_alt | Asimptotičeskie ocenki i cel'e funkcii |
| title_auth | Asymptotic estimates and entire functions |
| title_exact_search | Asymptotic estimates and entire functions |
| title_full | Asymptotic estimates and entire functions by M. A. Evgrafov. Translated by Allen L. Shields, Department of Mathematics, University of Michigan |
| title_fullStr | Asymptotic estimates and entire functions by M. A. Evgrafov. Translated by Allen L. Shields, Department of Mathematics, University of Michigan |
| title_full_unstemmed | Asymptotic estimates and entire functions by M. A. Evgrafov. Translated by Allen L. Shields, Department of Mathematics, University of Michigan |
| title_short | Asymptotic estimates and entire functions |
| title_sort | asymptotic estimates and entire functions |
| topic | Asymptotic expansions Functions, Entire Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Asymptotic expansions Functions, Entire Funktionentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005306944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889211 |
| work_keys_str_mv | AT evgrafovmaratandreevic asimptoticeskieocenkiicelefunkcii AT evgrafovmaratandreevic asymptoticestimatesandentirefunctions |