Naseem KHAN

Khursheed Ahmad1and Naseem Ahmad Khan2

ISSN: 2147-5520
Başlangıç: 2015
Yayıncı: Biska Bilişim

Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t)

The present paper deal with three variables polynomial sets generated by functions of the form etϕ(xt)ϕ2(x2t)ϕ3(x3t). Itsspecial case analogous to Laguerre polynomials have been discussed

Keywords:

Laguerre polynomials of three variables hypergeometric function,

PDF

___

Chatterjea, S. K., A note on Laguerre polynomials of two variables, Bull. Cal. Math. Soc., 83 (1991) 263.
Khan, M. A. and Alidad, B., Polynomial sets generated by etϕ(xt)ψ(yt), Proyecciones Journal of Mathematics, 29 (3) (2010), 201-207.
Khan, M. A. and Shukla, A. K., On Laguerre polynomials of three variables, Proyecciones Journal of Mathematics 17 (2) (1998) 227-235.
Ragab, S. F., On Laguerre Polynomials of two variables Ln (α,β)
(x, y), Bull, Cal. Math. Soc., 83 (1991), 253-262
Rainville, E. D., Certain generating functions and associated polynomials, Amer. Math. Monthly, 52, (1945), 239-250
Rainville, E. D., Special Functions, Macmillan, New York; Reprinted by Chelsea Publ. Co., Bronx, New York (1971).
Srivastave, H. M. and Manocha, H. L., A treatise on generating functions, Ellis Horwood Limited Chichester, Halsfed Press, a division of John Wiley and Sons, New York (1984).