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.
Downloads
Download data is not yet available.
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).
Downloads
Published
2011-12-10
Issue
Section
Artículos
License
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
How to Cite
[1]
“Triple generating functions of jacobi polynomials of two variables”, Proyecciones (Antofagasta, On line), vol. 30, no. 2, pp. 213–245, Dec. 2011, doi: 10.4067/S0716-09172011000200007.