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arXiv · 1604.00186

Characterizations of classical orthogonal polynomials on quadratic lattices

M. Njinkeu Sandjon·A. Branquinho·M. Foupouagnigni·I. Area
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Abstract

This paper is devoted to characterizations classical orthogonal polynomials on quadratic lattices by using a matrix approach. In this form we recover the Hahn, Geronimus, Tricomi and Bochner type characterizations of classical orthogonal polynomials on quadratic lattices. Moreover a new characterization is also presented. From the Bochner type characterization we derive the three-term recurrence relation coefficients for these polynomials.

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BibTeXRIS

M. Njinkeu Sandjon, A. Branquinho, M. Foupouagnigni, I. Area. 2016-04-01. Characterizations of classical orthogonal polynomials on quadratic lattices. https://arxiv.org/abs/1604.00186

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