Asymptotic Forms Of Whittaker S Confluent Hypergeometric Functions
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Asymptotic Forms Of Whittaker S Confluent Hypergeometric Functions
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Author : Arthur Erdélyi
language : en
Publisher: American Mathematical Soc.
Release Date : 1957
Asymptotic Forms Of Whittaker S Confluent Hypergeometric Functions written by Arthur Erdélyi 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 1957 with Airy functions categories.
Asymptotic Forms Of Whittaker S Confluent Hypergeometric Functions
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Author : Arthur Erdélyi
language : en
Publisher:
Release Date : 1966
Asymptotic Forms Of Whittaker S Confluent Hypergeometric Functions written by Arthur Erdélyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Hypergeometric functions categories.
Asymptotics And Special Functions
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Author : F. W. J. Olver
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Asymptotics And Special Functions written by F. W. J. Olver and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.
Asymptotics And Special Functions
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Author : Frank Olver
language : en
Publisher: CRC Press
Release Date : 1997-01-24
Asymptotics And Special Functions written by Frank Olver and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-24 with Mathematics categories.
A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Handbook Of Mathematical Functions
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Author : Milton Abramowitz
language : en
Publisher: Courier Corporation
Release Date : 1965-01-01
Handbook Of Mathematical Functions written by Milton Abramowitz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-01-01 with Mathematics categories.
An extensive summary of mathematical functions that occur in physical and engineering problems
Theory And Application Of Special Functions
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Author : Richard Askey
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Theory And Application Of Special Functions written by Richard Askey and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.
Asymptotic Behavior And Stability Problems In Ordinary Differential Equations
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Author : Lamberto Cesari
language : en
Publisher: Springer
Release Date : 2013-06-29
Asymptotic Behavior And Stability Problems In Ordinary Differential Equations written by Lamberto Cesari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Confluent Hypergeometric Functions
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Author : Lucy Joan Slater
language : en
Publisher:
Release Date : 1960
Confluent Hypergeometric Functions written by Lucy Joan Slater and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
Asymptotic Combinatorics With Applications To Mathematical Physics
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Author : Anatoly M. Vershik
language : en
Publisher: Springer
Release Date : 2003-07-03
Asymptotic Combinatorics With Applications To Mathematical Physics written by Anatoly M. Vershik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-03 with Mathematics categories.
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
Asymptotic Expansions For Ordinary Differential Equations
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Author : Wolfgang Wasow
language : en
Publisher: Courier Dover Publications
Release Date : 2018-03-21
Asymptotic Expansions For Ordinary Differential Equations written by Wolfgang Wasow and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-21 with Mathematics categories.
This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.