Description |
1 online resource |
Physical Medium |
polychrome |
Description |
text file |
Bibliography |
Includes bibliographical references and index. |
Contents |
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. |
Summary |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Functions, Special.
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Functions, Special. |
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Bernoulli polynomials.
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Bernoulli polynomials. |
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Gamma functions.
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Gamma functions. |
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Functions, Zeta.
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Functions, Zeta. |
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Fourier series.
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Fourier series. |
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L-functions.
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L-functions. |
Genre/Form |
Electronic books.
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Added Author |
Tsukada, Haruo, 1961-
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Other Form: |
Print version: Kanemitsu, Shigeru. Vistas of special functions. Hackensack, NJ : World Scientific, 2007 9789812707741 9812707743 (OCoLC)156823801 |
ISBN |
9789812708830 (electronic book) |
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9812708839 (electronic book) |
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1281121924 |
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9781281121929 |
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