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Author: Richard Beals, Roderick Wong
Classical Orthogonal Polynomials and Their Associated Functions in Complex Domain is an advanced mathematical monograph devoted to the theory and analysis of classical orthogonal polynomials within the complex plane. The authors investigate asymptotic behavior, analytic continuation, differential equations, and special functions associated with orthogonal polynomial systems. Emphasizing rigorous mathematical foundations and modern analytical techniques, the book is intended for researchers, graduate students, and advanced scholars in applied mathematics, complex analysis, approximation theory, and mathematical physics.
1 Orientation
2 Gamma, beta, zeta
3 Second-order differential equations
4 Orthogonal polynomials on an interval
5 The classical orthogonal polynomials
6 Semi-classical orthogonal polynomials
7 Asymptotics of orthogonal polynomials: two methods
8 Confluent hypergeometric functions
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Tags: Classical orthogonal, polynomials, associated functions, complex domain, Richard Beals, Roderick Wong