Vistas Of Special Functions Ii
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A01=Haruo Tsukada
A01=Kalyan Chakraborty
A01=Shigeru Kanemitsu
Arithmetical Fourier Series
Author_Haruo Tsukada
Author_Kalyan Chakraborty
Author_Shigeru Kanemitsu
Bernoulli Polynomials
Category=PBKF
Dirichlet L-Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Gamma Function
Hurwitz-Lerch Zeta-Function
Parseval Identity
Special Functions
Vector-Space Structure
Zeta-Functions
Product details
- ISBN 9789814273978
- Publication Date: 02 Nov 2009
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing.
