Zeta and Q Zeta Functions and Associated Series and Integrals

Written By H. M. Srivastava
Zeta and Q Zeta Functions and Associated Series and Integrals
  • Publsiher : Elsevier
  • Release : 24 September 2021
  • ISBN : 0123852188
  • Pages : 657 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Zeta and Q Zeta Functions and Associated Series and Integrals written by H. M. Srivastava which was release on 24 September 2021, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions

Zeta and Q Zeta Functions and Associated Series and Integrals

Zeta and Q Zeta Functions and Associated Series and Integrals
  • Author : H. M. Srivastava,Choi Junesang
  • Publisher : Elsevier
  • Release Date : 2012
  • Total pages : 657
  • ISBN : 0123852188
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Summary : Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications ...

Multiple Zeta Functions Multiple Polylogarithms and Their Special Values

Multiple Zeta Functions  Multiple Polylogarithms and Their Special Values
  • Author : Jianqiang Zhao
  • Publisher : World Scientific
  • Release Date : 2016-03-07
  • Total pages : 620
  • ISBN : 0123852188
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Summary : This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This ...

Zeta Functions of Groups and Rings

Zeta Functions of Groups and Rings
  • Author : Marcus du Sautoy,Luke Woodward
  • Publisher : Springer Science & Business Media
  • Release Date : 2008
  • Total pages : 208
  • ISBN : 0123852188
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Summary : Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional ...

Integral Transforms and Operational Calculus

Integral Transforms and Operational Calculus
  • Author : H. M. Srivastava
  • Publisher : MDPI
  • Release Date : 2019-11-20
  • Total pages : 510
  • ISBN : 0123852188
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Summary : Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. ...

Analytic Number Theory Approximation Theory and Special Functions

Analytic Number Theory  Approximation Theory  and Special Functions
  • Author : Gradimir V. Milovanović,Michael Th. Rassias
  • Publisher : Springer
  • Release Date : 2014-07-08
  • Total pages : 880
  • ISBN : 0123852188
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Summary : This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and ...

Spectral Problems in Geometry and Arithmetic

Spectral Problems in Geometry and Arithmetic
  • Author : Thomas Branson,NSF-CBMS Conference on Spectral Problems in Geometry and Arithmetic (1997 : University of Iowa)
  • Publisher : American Mathematical Soc.
  • Release Date : 1999
  • Total pages : 174
  • ISBN : 0123852188
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Summary : This work covers the proceedings of the NSF-CBMS Conference on 'Spectral Problems in Geometry and Arithmetic' held at the University of Iowa. The principal speaker was Peter Sarnak, who has been a central contributor to developments in this field. The volume approaches the topic from the geometric, physical, and number ...

Lectures on the Riemann Zeta Function

Lectures on the Riemann Zeta Function
  • Author : H. Iwaniec
  • Publisher : American Mathematical Society
  • Release Date : 2014-10-07
  • Total pages : 119
  • ISBN : 0123852188
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Summary : The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of ...

Mathematical Analysis and Applications

Mathematical Analysis and Applications
  • Author : Themistocles M. Rassias,Panos M. Pardalos
  • Publisher : Springer Nature
  • Release Date : 2019-12-12
  • Total pages : 694
  • ISBN : 0123852188
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Summary : An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, ...

Vistas of Special Functions II

Vistas of Special Functions II
  • Author : Shigeru Kanemitsu,Haruo Tsukada
  • Publisher : World Scientific
  • Release Date : 2010
  • Total pages : 215
  • ISBN : 0123852188
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Summary : 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 ...

Cohomological Theory of Dynamical Zeta Functions

Cohomological Theory of Dynamical Zeta Functions
  • Author : Andreas Juhl
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • Total pages : 709
  • ISBN : 0123852188
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Summary : Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from ...

Scalar Vector and Matrix Mathematics

Scalar  Vector  and Matrix Mathematics
  • Author : Dennis S. Bernstein
  • Publisher : Princeton University Press
  • Release Date : 2018-02-27
  • Total pages : 1600
  • ISBN : 0123852188
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Summary : The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis ...

Advanced Studies in Contemporary Mathematics

Advanced Studies in Contemporary Mathematics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Total pages : 212
  • ISBN : 0123852188
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Summary : Download or read online Advanced Studies in Contemporary Mathematics written by , published by which was released on 2008. Get Advanced Studies in Contemporary Mathematics Books now! Available in PDF, ePub and Kindle....

The Lerch zeta function

The Lerch zeta function
  • Author : Antanas Laurincikas,Ramunas Garunkstis
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-11
  • Total pages : 189
  • ISBN : 0123852188
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Summary : The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the first book containing both analytic and probability theory of Lerch zeta-functions. The book starts ...

Dynamical Spectral and Arithmetic Zeta Functions

Dynamical  Spectral  and Arithmetic Zeta Functions
  • Author : Spectral AMS Special Session on Dynamical,Michel Laurent Lapidus,Machiel Van Frankenhuysen
  • Publisher : American Mathematical Soc.
  • Release Date : 2001
  • Total pages : 195
  • ISBN : 0123852188
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Summary : The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions. This led to the development of $L$-functions, which now have several ...

Automorphic Forms and Zeta Functions

Automorphic Forms and Zeta Functions
  • Author : Siegfried B”cherer
  • Publisher : World Scientific
  • Release Date : 2006-01
  • Total pages : 388
  • ISBN : 0123852188
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Summary : This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works, followed by 16 articles by experts in ...