Extraction of orthogonal polynomials from generating function for reciprocal of odd numbers

Shashikala, P. (2017) Extraction of orthogonal polynomials from generating function for reciprocal of odd numbers. Indian Journal of Pure and Applied Mathematics, 48 (2). pp. 177-185. ISSN 0975-7465

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Abstract

In the present paper the orthogonality relations, exhibited by both numerator and denominator polynomials of both even and odd order convergents of a regular C-fraction of a power series with coefficients as reciprocal of odd numbers are described. The two sequences of convergents are nothing but diagonal and upper diagonal Pade approximants for the power series. The two orthogonal polynomials extracted from denominators are shown to be classical orthogonal polynomials and two orthogonal polynomials extracted from numerators are shown to be non-classical orthogonal polynomials..

Item Type:	Article
Subjects:	E Mathematical Science > Mathematics
Divisions:	Department of > Mathematics
Depositing User:	C Swapna Library Assistant
Date Deposited:	11 Jun 2019 05:26
Last Modified:	11 Jun 2019 05:26
URI:	http://eprints.uni-mysore.ac.in/id/eprint/2902

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