Polynomial sets generated by etf(xt)ψ(yt)
DOI:
https://doi.org/10.4067/S0716-09172010000300004Keywords:
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.References
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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.
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