PARTIAL DIFFERENTIAL EQUATIONS FOR PRODUCTS OF TWO CLASSICAL ORTHOGONAL POLYNOMIALS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 42, Issue 1, 2005, pp.179-188
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2005.42.1.179

Title & Authors

PARTIAL DIFFERENTIAL EQUATIONS FOR PRODUCTS OF TWO CLASSICAL ORTHOGONAL POLYNOMIALS

LEE, D.W.;

LEE, D.W.;

Abstract

We give a method to derive partial differential equations for the product of any two classical orthogonal polynomials in one variable and thus find several new differential equations. We also explain with an example that our method can be extended to a more general case such as product of two sets of orthogonal functions.

Keywords

orthogonal polynomials;differential equation;classical orthogonal polynomials;

Language

English

Cited by

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