Zeta and q Zeta Functions and Associated Series and Integrals

Book Zeta and q Zeta Functions and Associated Series and Integrals Cover

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  • Publisher : Elsevier
  • Release : 11 October 2011
  • ISBN : 9780123852199
  • Page : 674 pages
  • Rating : 4.5/5 from 103 voters

Download Zeta and q Zeta Functions and Associated Series and Integrals in PDF, Epub and Kindle

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

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Zeta and q-Zeta Functions and Associated Series and Integrals

Zeta and q-Zeta Functions and Associated Series and Integrals
  • Author : H. M. Srivastava,Junesang Choi
  • Publisher : Elsevier
  • Release Date : 2011-10-11
  • ISBN : 9780123852199
GET THIS BOOKZeta and q-Zeta Functions and Associated Series and Integrals

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

Zeta and Q-Zeta Functions and Associated Series and Integrals

Zeta and Q-Zeta Functions and Associated Series and Integrals
  • Author : H. M. Srivastava,Junesang Choi
  • Publisher : Elsevier
  • Release Date : 2011-10-25
  • ISBN : 9780123852182
GET THIS BOOKZeta and Q-Zeta Functions and Associated Series and Integrals

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

Integral Transforms and Operational Calculus

Integral Transforms and Operational Calculus
  • Author : H. M. Srivastava
  • Publisher : MDPI
  • Release Date : 2019-11-20
  • ISBN : 9783039216185
GET THIS BOOKIntegral Transforms and Operational Calculus

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. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their

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  • Author : Živorad Tomovski,Delčo Leškovski,Stefan Gerhold
  • Publisher : Springer Nature
  • Release Date : 2021-11-15
  • ISBN : 9783030848170
GET THIS BOOKGeneralized Mathieu Series

The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharmonic equations in a rectangular domain. In addition to Tomovski and his coauthors, Pogany, Cerone, H. M. Srivastava, J. Choi, etc. are some of the known authors who published results concerning the Mathieu series, its generalizations and their alternating variants. Applications of these results are given in

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
  • ISBN : 9781493902583
GET THIS BOOKAnalytic Number Theory, Approximation Theory, and Special Functions

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 polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a

Series Associated With the Zeta and Related Functions

Series Associated With the Zeta and Related Functions
  • Author : Hari M. Srivastava,Junesang Choi
  • Publisher : Springer Science & Business Media
  • Release Date : 2001
  • ISBN : 0792370546
GET THIS BOOKSeries Associated With the Zeta and Related Functions

Designed as a reference work and also as a graduate-level textbook, this volume presents an up-to-date and comprehensive account of the theories and applications of the various methods and techniques used in dealing with problems involving closed-form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) numerous families of series associated with the Riemann Zeta function, the Hurwitz Zeta function, and their extensions and generalizations such as Lerch's transcendent (or the Hurwitz-Lerch Zeta function). Audience:

Mathematical Analysis in Interdisciplinary Research

Mathematical Analysis in Interdisciplinary Research
  • Author : Ioannis N. Parasidis,Efthimios Providas,Themistocles M. Rassias
  • Publisher : Springer Nature
  • Release Date : 2021
  • ISBN : 9783030847210
GET THIS BOOKMathematical Analysis in Interdisciplinary Research

This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. Presenting the state-of-the-art knowledge in a wide range of topics, the book will be useful to graduate students and researchers in theoretical and applicable interdisciplinary research. The focus is on several subjects including: optimal control problems, optimal maintenance of communication networks, optimal emergency evacuation with uncertainty, cooperative and noncooperative partial differential systems,

Ramanujan Summation of Divergent Series

Ramanujan Summation of Divergent Series
  • Author : Bernard Candelpergher
  • Publisher : Springer
  • Release Date : 2017-09-12
  • ISBN : 9783319636306
GET THIS BOOKRamanujan Summation of Divergent Series

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is

(Almost) Impossible Integrals, Sums, and Series

(Almost) Impossible Integrals, Sums, and Series
  • Author : Cornel Ioan Vălean
  • Publisher : Springer
  • Release Date : 2019-05-10
  • ISBN : 9783030024628
GET THIS BOOK(Almost) Impossible Integrals, Sums, and Series

This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming

Approximation Theory and Analytic Inequalities

Approximation Theory and Analytic Inequalities
  • Author : Themistocles M. Rassias
  • Publisher : Springer Nature
  • Release Date : 2021-07-21
  • ISBN : 9783030606220
GET THIS BOOKApproximation Theory and Analytic Inequalities

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional

Limits, Series, and Fractional Part Integrals

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  • Author : Ovidiu Furdui
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-05-30
  • ISBN : 9781461467625
GET THIS BOOKLimits, Series, and Fractional Part Integrals

This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of

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
  • ISBN : 9789814689410
GET THIS BOOKMultiple Zeta Functions, Multiple Polylogarithms and Their Special Values

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 book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research. The book will provide a detailed and comprehensive introduction to these

Zeta Functions of Groups and Rings

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  • Author : Marcus du Sautoy,Luke Woodward
  • Publisher : Springer Science & Business Media
  • Release Date : 2008
  • ISBN : 9783540747017
GET THIS BOOKZeta Functions of Groups and Rings

Thestudyofthesubgroupgrowthofin?nitegroupsisanareaofmathematical research that has grown rapidly since its inception at the Groups St. Andrews conferencein1985.Ithasbecomearichtheoryrequiringtoolsfromandhaving applications to many areas of group theory. Indeed, much of this progress is chronicled by Lubotzky and Segal within their book [42]. However, one area within this study has grown explosively in the last few years. This is the study of the zeta functions of groups with polynomial s- groupgrowth,inparticularfortorsion-free?nitely-generatednilpotentgroups. These zeta functions were introduced in [32], and other key papers in the

On Generalized Zeta Functions and Their Associated Lattice Point Problems

On Generalized Zeta Functions and Their Associated Lattice Point Problems
  • Author : Ivor Schilansky
  • Publisher : Unknown
  • Release Date : 1941
  • ISBN : UOM:39015039312338
GET THIS BOOKOn Generalized Zeta Functions and Their Associated Lattice Point Problems

Essays in Mathematics and its Applications

Essays in Mathematics and its Applications
  • Author : Panos M. Pardalos,Themistocles M. Rassias
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-08-07
  • ISBN : 9783642288210
GET THIS BOOKEssays in Mathematics and its Applications

​The volume is dedicated to Stephen Smale on the occasion of his 80th birthday.Besides his startling 1960 result of the proof of the Poincar ́e conjecture for all dimensionsgreater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century andbeyond. Stephen Smale has done pioneering work in differential topology, globalanalysis, dynamical systems, nonlinear functional analysis, numerical analysis, theoryof computation and machine learning as well as applications in