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2022•Unpublished venueRequires access

Orthogonal Polynomials in Two Variables

P. K. Suetin, E.V. Pankratiev

Open publisher page 105 citations

Abstract

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.

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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.

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Available abstract

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.

Key concepts: Orthogonal polynomials, Mathematics, Classical orthogonal polynomials, Discrete orthogonal polynomials, Hahn polynomials, Orthogonality, Jacobi polynomials, Wilson polynomials

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