Vistas of special functions:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Hackensack, NJ
World Scientific
2007
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Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references and index Preface; Contents; 1. The theory of Bernoulli and allied polynomials; 2. The theory of the gamma and related functions; 3. The theory of the Hurwitz-Lerch zeta-functions; 4. The theory of Bernoulli polynomilas via zeta-functions; 5. The theory of the gamma and related functions via zeta-functions; 6. The theory of Bessel functions and the Epstein zeta-functions; 7. Fourier series and Fourier transforms; 8. Around Dirichlet's L-functions; Appendix A Complex functions; Appendix B Summation formulas and convergence theorems; Bibliography; Index This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The F. |
Beschreibung: | 1 Online-Ressource |
ISBN: | 1281121924 9781281121929 9789812708830 9812708839 |
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264 | 1 | |a Hackensack, NJ |b World Scientific |c 2007 | |
300 | |a 1 Online-Ressource | ||
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500 | |a Includes bibliographical references and index | ||
500 | |a Preface; Contents; 1. The theory of Bernoulli and allied polynomials; 2. The theory of the gamma and related functions; 3. The theory of the Hurwitz-Lerch zeta-functions; 4. The theory of Bernoulli polynomilas via zeta-functions; 5. The theory of the gamma and related functions via zeta-functions; 6. The theory of Bessel functions and the Epstein zeta-functions; 7. Fourier series and Fourier transforms; 8. Around Dirichlet's L-functions; Appendix A Complex functions; Appendix B Summation formulas and convergence theorems; Bibliography; Index | ||
500 | |a This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The F. | ||
650 | 7 | |a MATHEMATICS / Calculus |2 bisacsh | |
650 | 7 | |a MATHEMATICS / Mathematical Analysis |2 bisacsh | |
650 | 7 | |a Bernoulli polynomials |2 fast | |
650 | 7 | |a Fourier series |2 fast | |
650 | 7 | |a Functions, Special |2 fast | |
650 | 7 | |a Functions, Zeta |2 fast | |
650 | 7 | |a Gamma functions |2 fast | |
650 | 7 | |a L-functions |2 fast | |
650 | 4 | |a Functions, Special | |
650 | 4 | |a Bernoulli polynomials | |
650 | 4 | |a Gamma functions | |
650 | 4 | |a Functions, Zeta | |
650 | 4 | |a Fourier series | |
650 | 4 | |a L-functions | |
700 | 1 | |a Tsukada, Haruo |e Sonstige |4 oth | |
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Datensatz im Suchindex
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any_adam_object | |
author | Kanemitsu, Shigeru |
author_facet | Kanemitsu, Shigeru |
author_role | aut |
author_sort | Kanemitsu, Shigeru |
author_variant | s k sk |
building | Verbundindex |
bvnumber | BV043101406 |
collection | ZDB-4-EBA |
ctrlnum | (OCoLC)173273621 (DE-599)BVBBV043101406 |
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 | 3515.5 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:17:27Z |
institution | BVB |
isbn | 1281121924 9781281121929 9789812708830 9812708839 |
language | English |
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spelling | Kanemitsu, Shigeru Verfasser aut Vistas of special functions Shigeru Kanemitsu & Haruo Tsukada Hackensack, NJ World Scientific 2007 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Preface; Contents; 1. The theory of Bernoulli and allied polynomials; 2. The theory of the gamma and related functions; 3. The theory of the Hurwitz-Lerch zeta-functions; 4. The theory of Bernoulli polynomilas via zeta-functions; 5. The theory of the gamma and related functions via zeta-functions; 6. The theory of Bessel functions and the Epstein zeta-functions; 7. Fourier series and Fourier transforms; 8. Around Dirichlet's L-functions; Appendix A Complex functions; Appendix B Summation formulas and convergence theorems; Bibliography; Index This is a unique book for studying special functions through zeta-functions. Many important formulas of special functions scattered throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions and summation formulas. The F. MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Bernoulli polynomials fast Fourier series fast Functions, Special fast Functions, Zeta fast Gamma functions fast L-functions fast Functions, Special Bernoulli polynomials Gamma functions Functions, Zeta Fourier series L-functions Tsukada, Haruo Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=203962 Aggregator Volltext |
spellingShingle | Kanemitsu, Shigeru Vistas of special functions MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Bernoulli polynomials fast Fourier series fast Functions, Special fast Functions, Zeta fast Gamma functions fast L-functions fast Functions, Special Bernoulli polynomials Gamma functions Functions, Zeta Fourier series L-functions |
title | Vistas of special functions |
title_auth | Vistas of special functions |
title_exact_search | Vistas of special functions |
title_full | Vistas of special functions Shigeru Kanemitsu & Haruo Tsukada |
title_fullStr | Vistas of special functions Shigeru Kanemitsu & Haruo Tsukada |
title_full_unstemmed | Vistas of special functions Shigeru Kanemitsu & Haruo Tsukada |
title_short | Vistas of special functions |
title_sort | vistas of special functions |
topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Bernoulli polynomials fast Fourier series fast Functions, Special fast Functions, Zeta fast Gamma functions fast L-functions fast Functions, Special Bernoulli polynomials Gamma functions Functions, Zeta Fourier series L-functions |
topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Bernoulli polynomials Fourier series Functions, Special Functions, Zeta Gamma functions L-functions |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=203962 |
work_keys_str_mv | AT kanemitsushigeru vistasofspecialfunctions AT tsukadaharuo vistasofspecialfunctions |