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Hypergeometric Functions and Their Applications : Texts in Applied Mathematics - James B. Seaborn

Hypergeometric Functions and Their Applications

Texts in Applied Mathematics


Published: 1st August 1991
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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe- matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A wide range of problems exists in classical and quantum physics, engi- neering, and applied mathematics in which special functions arise. The procedure followed in most texts on these topics (e. g. , quantum mechanics, electrodynamics, modern physics, classical mechanics, etc. ) is to formu- late the problem as a differential equation that is related to one of several special differential equations (Hermite's, Bessel's, Laguerre's, Legendre's, etc. ).

1 Special Functions in Applied Mathematics.- 2 Differential Equations and Special Functions.- 3 The Confluent Hypergeometric Function.- 4 Problems in Two Dimensions.- 5 The Central Force Problem in Quantum Mechanics.- 6 The Radial Equation for Central Force Fields.- 7 Complex Analysis.- 8 Applications of Contour Integrals.- 9 Alternate Forms for Special Functions.- 10 Integral Representations of Special Functions.- 11 Generating Functions and Recursion Formulas.- 12 Orthogonal Functions.

ISBN: 9780387975580
ISBN-10: 0387975586
Series: Texts in Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 250
Published: 1st August 1991
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.22