Dilogarithms And Associated Functions
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Dilogarithms And Associated Functions
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Author : Leon Lewin
language : en
Publisher:
Release Date : 1958
Dilogarithms And Associated Functions written by Leon Lewin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Mathematics categories.
Polylogarithms And Associated Functions
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Author : Leonard Lewin
language : en
Publisher: North-Holland
Release Date : 1981
Polylogarithms And Associated Functions written by Leonard Lewin and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Dilogarithms
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Author : Leonard Lewin
language : en
Publisher:
Release Date : 2004
Dilogarithms written by Leonard Lewin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dilogarithms categories.
Series Associated With The Zeta And Related Functions
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Author : Hari M. Srivastava
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Series Associated With The Zeta And Related Functions written by Hari M. Srivastava and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
In recent years there has been an increasing interest in problems involving closed form evaluations of (and representations of the Riemann Zeta function at positive integer arguments as) various families of series associated with the Riemann Zeta function ((s), the Hurwitz Zeta function ((s,a), and their such extensions and generalizations as (for example) Lerch's transcendent (or the Hurwitz-Lerch Zeta function) iI>(z, s, a). Some of these developments have apparently stemmed from an over two-century-old theorem of Christian Goldbach (1690-1764), which was stated in a letter dated 1729 from Goldbach to Daniel Bernoulli (1700-1782), from recent rediscoveries of a fairly rapidly convergent series representation for ((3), which is actually contained in a 1772 paper by Leonhard Euler (1707-1783), and from another known series representation for ((3), which was used by Roger Apery (1916-1994) in 1978 in his celebrated proof of the irrationality of ((3). This book is motivated essentially by the fact that the theories and applications of the various methods and techniques used in dealing with many different families of series associated with the Riemann Zeta function and its aforementioned relatives are to be found so far only"in widely scattered journal articles. Thus our systematic (and unified) presentation of these results on the evaluation and representation of the Zeta and related functions is expected to fill a conspicuous gap in the existing books dealing exclusively with these Zeta functions.
Zeta And Q Zeta Functions And Associated Series And Integrals
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Author : H. M. Srivastava
language : en
Publisher: Elsevier
Release Date : 2011-10-25
Zeta And Q Zeta Functions And Associated Series And Integrals written by H. M. Srivastava and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-25 with Mathematics categories.
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
Structural Properties Of Polylogarithms
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Author : Leonard Lewin
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Structural Properties Of Polylogarithms written by Leonard Lewin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
About ten years ago, the handful of peculiar numerical diogarithmic identities, known since the time of Euler and Landen, gave rise to new discoveries concerning cyclotomic equations and related polylogarithmic ladders. These discoveries were made mostly by the methods of classical analysis, with help from machine computation. About the same time, starting with Bloch's studies on the application of the dilogarithm in algebraic K-theory and algebraic geometry, many important discoveries were made in diverse areas. This book seeks to provide a synthesis of these two streams of thought. In addition to an account of ladders and their association with functional equations, the chapters include applications to volume calculations in Lobatchevsky geometry, relations to partition theory, connections with Clausen's function, new functional equations, and applications to K-theory and other branches of abstract algebra. This rapidly-expanding field is brought up to date with two appendices, and the book concludes with an extensive bibliography of recent publications. About two-thirds of the material is accessible to mathematicians and scientists in many areas, while the remainder requires more specialized background in abstract algebra.
Dilogarithms And Associated Functions Etc
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Author : Leonard LEWIN (A.M.I.E.E.)
language : en
Publisher:
Release Date : 1958
Dilogarithms And Associated Functions Etc written by Leonard LEWIN (A.M.I.E.E.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
The Lerch Zeta Function
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Author : Antanas Laurincikas
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
The Lerch Zeta Function written by Antanas Laurincikas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This monograph is a generalization of the classic Riemann, and Hurwitz zeta-functions, containing both analytic and probability theory of Lerch zeta-functions.
The Handbook Of Integration
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Author : Daniel Zwillinger
language : en
Publisher: CRC Press
Release Date : 1992-11-02
The Handbook Of Integration written by Daniel Zwillinger and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-02 with Mathematics categories.
This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Appro
Handbook Of Mathematical Functions With Formulas Graphs And Mathematical Tables
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Author : Milton Abramowitz
language : en
Publisher:
Release Date : 1968
Handbook Of Mathematical Functions With Formulas Graphs And Mathematical Tables written by Milton Abramowitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functions categories.