Orthogonal Polynomials in Two Variables

✍ Scribed by Suetin, P.K.

Publisher: Taylor & Francis
Year: 1999
Tongue: English
Leaves: 376
Series: Volume 3 of Analytical Methods and Special Functions
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits orthogonal polynomials as eigenfunctions and several two-dimensional analogies of classical orthogonal polynomials.

✦ Table of Contents

General properties of polynomials orthogonal over ..............1
Some typical examples and special cases ..............37
Classical Appells orthogonal polynomials ..............63
Admissible differential equation for polynomials ..............87
Potentially selfadjoint equation and Rodrigues ..............131
Harmonic polynomials orthogonal over a domain ..............163
Polynomials in two variables orthogonal on ..............187
Generalized orthogonal polynomials in ..............223

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