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Vistas of special functions II /
This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Jersey :
World Scientific,
2007.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Chakraborty, Kalyan. | |
| 245 | 1 | 0 | |a Vistas of special functions II / |c Kalyan Chakraborty, Shigeru Kanemitsu, Haruo Tsukada. |
| 260 | |a New Jersey : |b World Scientific, |c 2007. | ||
| 300 | |a 1 online resource (xii, 215 pages) : |b illustrations, portraits | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface; Contents; 1. The theory of Bernoulli and allied polynomials; 2. The theory of the gamma and related functions; 2.1 Gamma function; 2.2 The Euler digamma function; 3. The theory of the Hurwitz-Lerch zeta-functions; 3.1 Introduction; 3.2 Integral representations; 3.3 A formula of Ramanujan; 3.4 Some definite integrals; 3.5 The functional equation; 4. The theory of Bernoulli polynomilas via zeta-functions; 5. The theory of the gamma and related functions via zeta-functions; 5.1 Derivatives of the Hurwitz zeta-function. | |
| 505 | 8 | |a 5.2 Asymptotic formulas for the Hurwitz and related zetafunctions in the second variable5.3 An application of the Euler digamma function; 5.4 The first circle; 6. The theory of Bessel functions and the Epstein zeta-functions; 6.1 Introduction and the theory of Bessel functions; 6.2 The theory of Epstein zeta-functions; 6.3 Lattice zeta-functions; 6.4 Bessel series expansions for Epstein zeta-functions; 7. Fourier series and Fourier transforms; 7.1 Fourier series; 7.2 Integral transforms; 7.3 Fourier transform; 7.4 Mellin transform; 8. Around Dirichlet's L-functions. | |
| 505 | 8 | |a 8.1 The theory of periodic Dirichlet series8.2 The Dirichlet class number formula; 8.3 Proof of the theorems; Appendix A Complex functions; A.1 Function series; A.2 Residue theorem and its applications; Appendix B Summation formulas and convergence theorems; B.1 Summation formula and its applications; B.2 Application to the Riemann zeta-function; Bibliography; Index. | |
| 520 | |a This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations - avatars of the functional equations. Vista II gives an organic an. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Functions, Special. | |
| 650 | 0 | |a Bernoulli polynomials. | |
| 650 | 6 | |a Fonctions spéciales. | |
| 650 | 6 | |a Polynômes de Bernoulli. | |
| 650 | 7 | |a MATHEMATICS. |2 bisac | |
| 650 | 7 | |a Algebra / General. |2 bisac | |
| 650 | 7 | |a Bernoulli polynomials |2 fast | |
| 650 | 7 | |a Functions, Special |2 fast | |
| 650 | 7 | |a Mathematics. |2 hilcc | |
| 650 | 7 | |a Physical Sciences & Mathematics. |2 hilcc | |
| 650 | 7 | |a Calculus. |2 hilcc | |
| 700 | 1 | |a Kanemitsu, Shigeru. | |
| 700 | 1 | |a Tsukada, Haruo. | |
| 776 | 0 | 8 | |i Print version: |a Chakraborty, Kalyan. |t Vistas of Special Functions Ii. |d Singapore : World Scientific Publishing Company, ©2009 |z 9789814273978 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681775 |z Texto completo |
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