Introduction to Asymptotics and Special Functions

Olver, F W J

ISBN 10: 0125258569 / ISBN 13: 9780125258562

Published by Academic Press, New York, 1974

About this Item

Description: Figure illustrations. Topics include: Asymptotic expansions of integrals and sums. Asymptotic solutions of ordinary linear differential equations. Hypergeometric and confluent hypergeometric functions. Gamma, Legendre, and Bessel functions. ''In order to emphasize the applicable theories without sacrificing mathematical rigor, the author includes numerous worked-out examples and more than 500 exercises of considerably varying difficulty. Some of the exercises are purely illustrative; others provide extensions of the general theory and add significantly to the scope of the material.'' BINDING/CONDITION: paperbound; Good condition. references, indexes. 8vo (9.25 inches tall). 297 pages.

Seller Inventory # 069394

Bibliographic Details

• Title: Introduction to Asymptotics and Special Functions
• Publisher: Academic Press, New York
• Publication Date: 1974
• Language: English
• ISBN 10: 0125258569
• ISBN 13: 9780125258562
• Binding: Paperbound
• Condition: Good
• Seller catalogs:
  • Math and Science

About this title

Synopsis

Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.