Orthogonal Polynomials in Two Variables: 1st Edition (Hardback) book cover

Orthogonal Polynomials in Two Variables

1st Edition

By P. K. Suetin

CRC Press

368 pages

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Hardback: 9789056991678
pub: 1999-08-19
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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

1. General Properties of Polynomials Orthogonal Over a Domain 2. Some Typical Examples and Special Cases of Orthogonality Over a Domain 3. Classical Appell's Orthogonal Polynomials 4. Admissible Differential Equation for Polnomials Orthogonal Over a Domain 5. Potentially Self-Adjoint Equation and Rodrigues Formula 6. Harmonic Polynomials Orthogonal Over a Domain 7. Polynomials in Two Variables Orthogonal on a Contour 8. Generalized Orthogonal Polynomials in Two Variables 9. Other Results Concerning the Connection Between Orthogonal 10. Polynomials and Differential Equations 11. Original Results of T. Koornwinder Some Recent Results

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Analytical Methods and Special Functions

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations