George E. Andrews, Richard Askey, Ranjan Roy. Special Functions

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размер 4.11 МБ
добавлен 25 декабря 2011 г.

Учебник по специальным функциям в математике.
Cambridge, UK: The Press syndicate of the University of Cambridge, 1999. - 664 с.
The Gamma and Beta Functions.
The Hypergeometric function.
Hypergeometric Transformations and Identities.
Bessel Functions and Confluent Hypergeometric Functions.
Orthogonal Polynomials.
Special Orthogonal Polynomials.
Topics in Orthogonal Polynomials.
The Selberg Intergal and Its Application.
Spherical Harmonics.
Introduction to q-Series.
Partitions.
Bailey Chains.
Infinite Products.
Summability and Fractional Interration.
Asymptotic Expansions.
Euler-Maclaurin Summation Formula.
Lagrange Inversion Formula.
Series Solutions of Differential Equations.

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