Orthogonal Polynomials in Two Variables
P. K. Suetin, E.V. Pankratiev
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.
Topics & Concepts
Orthogonal polynomialsMathematicsClassical orthogonal polynomialsDiscrete orthogonal polynomialsHahn polynomialsOrthogonalityJacobi polynomialsWilson polynomialsGegenbauer polynomialsDomain (mathematical analysis)Pure mathematicsKravchuk polynomialsKoornwinder polynomialsMathematical analysisGeometryIterative Methods for Nonlinear EquationsMathematical functions and polynomialsFractional Differential Equations Solutions