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Publication Date:
March 2010
ISSN:
1572-9176
DOI:
10.1515/GMJ.2006.85

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Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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On Generating Relations Involving Generalized Gegenbauer Polynomials

Subuhi Khan1 / Ghazala Yasmin2 / Archana Mittal3

1Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. E-mail: subuhi@lycos.com

2Women's College, Aligarh Muslim University, Aligarh-202002, India

3Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Citation Information: Georgian Mathematical Journal. Volume 13, Issue 1, Pages 85–99, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2006.85, March 2010

Publication History:
Received:
2005-03-15
Published Online:
2010-03-10

Abstract

In this paper, generating relations involving generalized Gegenbauer polynomials are obtained by constructing a three-dimensional Lie algebra isomorphic to special linear algebra sl(2). Further, a number of new interesting relations involving various generalized polynomials are obtained as applications of these generating relations.

Key words and phrases:: Generalized Gegenbauer polynomials; Lie group; Lie algebra; generating relations

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