A pair of classical orthogonal polynomials connected to Catalan numbers

Rangarajan, R. and Shashikala, P. (2013) A pair of classical orthogonal polynomials connected to Catalan numbers. Advanced Studies in Contemporary Mathematics (Kyungshang), 23 (2). pp. 323-335.

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Abstract

In the present paper, a pair of classical orthogonal polynomials aie extracted from denominator polynomials of even and odd order convergents of a regular C-fraction connected to Pade approximants for the generating function of Catalan numbers. The characteristic features of classical orthogonal polynomials are described with the help of their close connections to Chebyshev polynomials of second and third kind.

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: Arshiya Kousar Library Assistant
Date Deposited: 11 Nov 2019 06:49
Last Modified: 11 Nov 2019 06:49
URI: http://eprints.uni-mysore.ac.in/id/eprint/9637

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