ORTHOGONAL POLYNOMIALS SATISFYING PARTIAL DIFFERENTIAL EQUATIONS BELONGING TO THE BASIC CLASS

DOI10.4134/JKMS.2004.41.6.1049zbMath1064.33011OpenAlexW2018154429MaRDI QIDQ4654906

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Publication date: 10 March 2005

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2004.41.6.1049

zbMATH Keywords

eigenvalueJacobi polynomialspositive-definiteBessel polynomialsorthogonal polynomials basic classpartial diffferential equations

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

Tridiagonal operators and zeros of polynomials in two variables ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ On differential properties for bivariate orthogonal polynomials ⋮ Sobolev orthogonal polynomials in two variables and second order partial differential equations ⋮ Bivariate orthogonal polynomials in the Lyskova class

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