Polynomial sets generated by etf(xt)ψ(yt)

Authors

  • Mumtaz Ahmad Khan Aligarh Muslim University.
  • Bahman Alidad Golestan University.

DOI:

https://doi.org/10.4067/S0716-09172010000300004

Keywords:

Two variables polynomial sets, Laguerre polynomials, conjuntos polinomiales de dos variables, polinomios de Laguerre.

Abstract

The present paper deals with two variables polynomial sets generated by functions of the form etφ(xt)ψ(yt). Its special case analogous to Laguerre polynomials have been discussed.

Author Biographies

Mumtaz Ahmad Khan, Aligarh Muslim University.

Department of Applied Mathematics, Faculty of Engineering and Technology.

Bahman Alidad, Golestan University.

Department of Mathematics, Faculty of Science.

References

Chatterjea, S. K. A note on Laguerre polynomials of two variables, Bull. Cal. Math. Soc., Vol. 83, pp. 263, (1991).

Khan, M. A., Shukla, A. K. On Laguerre polynomials of several variables, Bull. Cal. Math. Soc., Vol. 89, pp. 155-164, (1997).

Khan, M. A., Shukla, A. K. A note on Laguerre polynomials of m variables, Bulletin of the Greek Mathematical Society., Vol. 40, pp. 113-117, (1998).

Khan, M. A., Abukhammash, G. S. On Hermite polynomials of two variables suggested by S. F. Ragab’s Laguerre polynomials of two variables, Bull. Cal. Math. Soc., Vol. 90, pp. 61-76, (1998).

Khan, M. A., Ahmad, K. On a general class of polynomials Ln (α,β;γ,δ)(x, y) of two variables suggested by the polynomials Ln(α,β)(x, y) of Ragab and Ln(α,β)(x) of Prabhakar and Rekha, Pro Mathematica, Vol. xix/Nos. 37-38, pp. 21-38, (2005).

Khan, M. A., Alidad, B. Polynomial sets generated by functions of the form G(2xt − t2)K(2yt − t2) , Communicated for publication.

Ragab, S. F. On Laguerse polynomials of two variables Ln(α,β)(x, y), Bull. Cal. Math. Soc., Vol. 83, pp. 253, (1991).

Rainville, E. D. Special Functions, Macmillan, New York; Reprinted by Chelsea Publ. Co., Bronx., New York, (1971).

Srivastava, H. M., Manocha, H. L. A Treatise on Generating Functions, Ellis Horwood Limited Publishers, Chichester, Halsted Press, a division of John Wiley and Sons, New York, (1984).

Srivastava, H. M., Karlsson, P. W. Multiple Gaussian Hypergeometric Series, John Wiley & Sons (Halsted Press), New York; Ellis Horwood, Chichester, (1985).

Published

2011-01-07

How to Cite

[1]
M. A. Khan and B. Alidad, “Polynomial sets generated by etf(xt)ψ(yt)”, Proyecciones (Antofagasta, On line), vol. 29, no. 3, pp. 201-207, Jan. 2011.

Issue

Section

Artículos