On bilateral generating functions involving modified Jacobi Polynomials from the group –theoretic view point

AUTHOR AND
AFFILIATION

A. K. CHONGDAR1 and C.S. BERA2
1Department of Mathematics, Bengal Engineering and Science University, Shibpur. P.O. Botanic Garden, Howrah-(INDIA)
2Department of Mathematics, Bagnan college, P.O. Bagnan, Howrah-711303 (INDIA)

KEYWORDS:

Bilateral generating relation, Jacobi Polynomials, AMS-2000 classification code : 33C65

Issue Date:

April 2012

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.24 – No.1

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DOI:

jusps-A

ABSTRACT:

In this note, we have obtained some novel results on bilateral generating functions involving P( n, ) (x) n k , a modified form of Jacobi Polynomials by group theoretic method. In fact, in section 1, we have introduced a linear partial differential operator R which do not seem to have appeared in the earlier investigations and then we have obtained the extended form of the group generated by R. Finally, in section 2, we have obtained a novel generating relation involving the polynomial under consideration with the help of which, we have proved a general theorem on bilateral generating relations of P( n, ) (x) n kSome particular cases of interest are also discussed.

Copy the following to cite this Article:

A. K. CHONGDAR1 and C.S. BERA2, “On bilateral generating functions involving modified Jacobi Polynomials from the group –theoretic view point”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016


Copy the following to cite this URL:

A. K. CHONGDAR1 and C.S. BERA2, “On bilateral generating functions involving modified Jacobi Polynomials from the group –theoretic view point”, Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/443/


In this note, we have obtained some novel results on bilateral generating functions involving P( n, ) (x) n k , a modified form of Jacobi Polynomials by group theoretic method. In fact, in section 1, we have introduced a linear partial differential operator R which do not seem to have appeared in the earlier investigations and then we have obtained the extended form of the group generated by R. Finally, in section 2, we have obtained a novel generating relation involving the polynomial under consideration with the help of which, we have proved a general theorem on bilateral generating relations of P( n, ) (x) n kSome particular cases of interest are also discussed.