Proyecciones Journal of Mathematics
Vol. 30, N° 2, pp. 213-245, August 2011.
Universidad Católica del Norte
Antofagasta - Chile


Triple generating functions of Jacobi polynomials of two variables


Mumtaz Ahmad Khan
Abdul Hakim Khan
Sayed Mohammad Abbas

Aligarh Muslim University, India


Correspondencia a:

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Abstract

The present paper is a study of triple generating functions of Jacobi polynomials of two variables.

Keywords : Triple generating functions.

A. M. S. Subject Classification : 33C45.

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References

[1] Chatterjea, S. K., A note on Laguerre polynomials of two variables, Bull. cal. Math. Soc. 83, (1991).         [ Links ]

[2] Khan, M. A. and Abukhammash, G. S., On Hermite polynomials of two variables suggested by S. F. Ragab's Laguerre polynomials of two variables, Bull. cal. Math. Soc. 90, pp. 61-76, (1998).         [ Links ]

[3] Khan, M. A. and Shukla, A. K., On Laguerre polynomials of several variables,Bull. cal. Math. Soc. 89, (1997).         [ Links ]

[4] Khan, M. A., A note on Laguerre polynomials of m- variables,Bull.of the Greek. Math.Soc. 40, pp. 113-117, (1998).         [ Links ]

[5] Khan,M. A.,Khan, A. H. and Abbas,S.M.,A note on Pseudo two variables Jacobi polynomials ,International transactions in applied sciences, (2010)        [ Links ]

[6] Khan, M. A., Khan, A. H. and Abbas, S. M.,On some generating and double generating functions of Jacobi polynomials of two variables, Communicated for publication.         [ Links ]

[7] Ragab, S. F. On Laguerre polynomials of two L_n^(a,ß)(x, y) variables, Bull. cal. Math. Soc. 83, (1991).

[8] Rainville, E. D. Special Functions, Chelsea Publishing Company, Bronx, New York, (1971).         [ Links ]

[9] Srivastava, H. M. and Manocha, H. L., A treatise on generating functions, John Wily and Sons (Halsted Press, New York, Ellis Horwood, Chichester).         [ Links ]

[10] Shrivastava, H. S. P., On Jacobi polynomials of several variables, Integral Transforms and Special functions 10 No. 1, pp. 61-70, (2000).         [ Links ]

[11] Shrivastava, H. S. P., Generating function,Expansion and Recurrence Relations of Jacobi polynomials of two variables, Acta Ciencia No. 4, pp. 633-640, (2002).         [ Links ]

[12] Shrivastava, H. S. P.,Derivatives of multivariable Jacobi polynomials, Acta Ciencia No. 3, pp. 451-458, (2002).         [ Links ]

Mumtaz Ahmad Khan
Department of Applied Mathematics
Faculty of Engineering and Technology
Aligarh Muslim University
Aligarh - 202002, U.P.
India
e-mail : mumtaz_ahmad_khan_2008@yahoo.com


Abdul Hakim Khan
Department of Applied Mathematics
Faculty of Engineering and Technology
Aligarh Muslim University
Aligarh - 202002, U.P.
India
e-mail : abdulhakim2002@yahoo.com


Sayed Mohammad Abbas
Department of Applied Mathematics
Faculty of Engineering and Technology
Aligarh Muslim University
Aligarh - 202002, U.P.
India
e-mail : syedmohammad_abbas@yahoo.com

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Received : March 2011. Accepted : May 2011