Haruo Tsukada's Books

Vistas of Special Functions II

By: Shigeru Kanemitsu,Haruo Tsukada

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Vistas of Special Functions II

By: Shigeru Kanemitsu,Haruo Tsukada

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 OCo 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. Sample Chapter(s). Chapter 1: The theory of Bernoulli and allied polynomials (779 KB). Contents: The Theory of Bernoulli and Allied Polynomials; The Theory of the Gamma and Related Functions; The Theory of the Lipschitz-Lerch Transcendent; Elucidation of Zeta-Identities; Hypergeometric Functions and Zeta-Functions; The Theory of Bessel Functions and the Epstein Zeta-Functions; The Theory of Arithmetical Fourier Series and the Parseval Identities; Around the Dirichlet L-Functions and the Deninger R-Function. Readership: Graduate students and researchers in pure mathematics.

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Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

9814273988

ISBN 13

9789814273985

Contributions to the Theory of Zeta-Functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

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Contributions to the Theory of Zeta-Functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations - zeta symmetry - which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.

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Page Count

316

Publisher

World Scientific

Published Date

ISBN 10

9814449628

ISBN 13

9789814449625

Vistas Of Special Functions Ii

By: Haruo Tsukada,Shigeru Kanemitsu,Kalyan Chakraborty

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Vistas Of Special Functions Ii

By: Haruo Tsukada,Shigeru Kanemitsu,Kalyan Chakraborty

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Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

9814467707

ISBN 13

9789814467704

String Path Integral Realization of Vertex Operator Algebras

By: Haruo Tsukada

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String Path Integral Realization of Vertex Operator Algebras

By: Haruo Tsukada

We establish relations between vertex operator algebras in mathematics and string path integrals in physics. In particular, we construct the basic representations of affine Lie algebras of [italic capitals]ÂD̂Ê-type using a method of string path integrals.

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Page Count

149

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825100

ISBN 13

9780821825105

String Path Integral Realization of Vertex Operator Algebras

By: Haruo Tsukada

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String Path Integral Realization of Vertex Operator Algebras

By: Haruo Tsukada

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Page Count

149

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825100

ISBN 13

9780821825105

Vistas Of Special Functions Ii

By: Haruo Tsukada,Shigeru Kanemitsu,Kalyan Chakraborty

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Vistas Of Special Functions Ii

By: Haruo Tsukada,Shigeru Kanemitsu,Kalyan Chakraborty

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Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

9814467707

ISBN 13

9789814467704

Contributions to the Theory of Zeta-functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

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Contributions to the Theory of Zeta-functions

The Modular Relation Supremacy

By: Shigeru Kanemitsu,Haruo Tsukada

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations -- zeta symmetry -- which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions. This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.

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Page Count

303

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

981444961X

ISBN 13

9789814449618

Book's by Haruo Tsukada

Vistas of Special Functions II

Vistas of Special Functions II

Contributions to the Theory of Zeta-Functions

Contributions to the Theory of Zeta-Functions

Vistas Of Special Functions Ii

Vistas Of Special Functions Ii

String Path Integral Realization of Vertex Operator Algebras

String Path Integral Realization of Vertex Operator Algebras

String Path Integral Realization of Vertex Operator Algebras

String Path Integral Realization of Vertex Operator Algebras

Vistas Of Special Functions Ii

Vistas Of Special Functions Ii

Contributions to the Theory of Zeta-functions

Contributions to the Theory of Zeta-functions

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