Triple generating functions of jacobi polynomials of two variables
DOI:
https://doi.org/10.4067/S0716-09172011000200007Keywords:
Triple generating functions.Abstract
The present paper is a study of triple generating functions of Jacobi polynomials of two variables.
References
[1] Chatterjea, S. K., A note on Laguerre polynomials of two variables, Bull. cal. Math. Soc. 83, (1991).
[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).
[3] Khan, M. A. and Shukla, A. K., On Laguerre polynomials of several variables, Bull. cal. Math. Soc. 89, (1997).
[4] Khan, M. A., A note on Laguerre polynomials of m- variables, Bull.of the Greek. Math.Soc. 40, pp. 113-117, (1998).
[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).
[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.
[7] Ragab, S. F. On Laguerre polynomials of two L(a,ß) n (x, y) variables,Bull. cal. Math. Soc. 83, (1991).
[8] Rainville, E. D. Special Functions, Chelsea Publishing Company, Bronx, New York, (1971).
[9] Srivastava, H. M. and Manocha, H. L., A treatise on generating functions,John Wily and Sons (Halsted Press, New York, Ellis Horwood, Chichester).
[10] Shrivastava, H. S. P., On Jacobi polynomials of several variables, Integral Transforms and Special functions 10 No. 1, pp. 61-70, (2000).
[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).
[12] Shrivastava, H. S. P.,Derivatives of multivariable Jacobi polynomials,Acta Ciencia No. 3, pp. 451-458, (2002).
[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).
[3] Khan, M. A. and Shukla, A. K., On Laguerre polynomials of several variables, Bull. cal. Math. Soc. 89, (1997).
[4] Khan, M. A., A note on Laguerre polynomials of m- variables, Bull.of the Greek. Math.Soc. 40, pp. 113-117, (1998).
[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).
[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.
[7] Ragab, S. F. On Laguerre polynomials of two L(a,ß) n (x, y) variables,Bull. cal. Math. Soc. 83, (1991).
[8] Rainville, E. D. Special Functions, Chelsea Publishing Company, Bronx, New York, (1971).
[9] Srivastava, H. M. and Manocha, H. L., A treatise on generating functions,John Wily and Sons (Halsted Press, New York, Ellis Horwood, Chichester).
[10] Shrivastava, H. S. P., On Jacobi polynomials of several variables, Integral Transforms and Special functions 10 No. 1, pp. 61-70, (2000).
[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).
[12] Shrivastava, H. S. P.,Derivatives of multivariable Jacobi polynomials,Acta Ciencia No. 3, pp. 451-458, (2002).
Published
2011-12-10
How to Cite
[1]
M. A. Khan, A. H. Khan, and S. M. Abbas, “Triple generating functions of jacobi polynomials of two variables”, Proyecciones (Antofagasta, On line), vol. 30, no. 2, pp. 213-245, Dec. 2011.
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