FINITE ORTHOGONAL POLYNOMIALS SATISFYING A SECOND ORDER DIFFERENTIAL EQUATION

Title & Authors
FINITE ORTHOGONAL POLYNOMIALS SATISFYING A SECOND ORDER DIFFERENTIAL EQUATION
Yoo, Byeong-Hoon; Lee, Dong-Won;

Abstract
The orthogonality of polynomials plays an important role in many areas and in many cases only finite orthogonalities are used. Concerning this fact we find characterizations of a finite orthogonal polynomial system satisfying a second order differential equation and then give several examples.
Keywords
finite orthogonality;orthogonal polynomials;differential equation;three term recurrence relation;
Language
English
Cited by
1.
Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation, Annali di Matematica Pura ed Applicata (1923 -), 2015, 194, 5, 1319
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