Asymptotics and Special Functions

Asymptotics and Special Functions
Author :
Publisher : Academic Press
Total Pages : 589
Release :
ISBN-10 : 9781483267449
ISBN-13 : 148326744X
Rating : 4/5 (44X Downloads)

Book Synopsis Asymptotics and Special Functions by : F. W. J. Olver

Download or read book Asymptotics and Special Functions written by F. W. J. Olver and published by Academic Press. This book was released on 2014-05-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

Asymptotics and Special Functions
Language: en
Pages: 589
Authors: F. W. J. Olver
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press

GET EBOOK

Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The in
Introduction to Asymptotics and Special Functions
Language: en
Pages: 312
Authors: F. W. J. Olver
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press

GET EBOOK

Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functio
Asymptotic Expansions of Integrals
Language: en
Pages: 453
Authors: Norman Bleistein
Categories: Mathematics
Type: BOOK - Published: 1986-01-01 - Publisher: Courier Corporation

GET EBOOK

Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Wat
Asymptotics and Special Functions
Language: en
Pages: 591
Authors: Frank Olver
Categories: Mathematics
Type: BOOK - Published: 1997-01-24 - Publisher: CRC Press

GET EBOOK

A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses
An Introduction to Special Functions
Language: en
Pages: 172
Authors: Carlo Viola
Categories: Mathematics
Type: BOOK - Published: 2016-10-31 - Publisher: Springer

GET EBOOK

The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analyti