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

Yıl 2015, Cilt: 3 Sayı: 1, 97 - 101, 22.12.2014

Naseem Khan

https://izlik.org/JA56WA79JE

Öz

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

Anahtar Kelimeler

Laguerre polynomials of three variables , hypergeometric function

Khursheed Ahmad1and Naseem Ahmad Khan2

https://izlik.org/JA56WA79JE

Öz

Kaynakça

• 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).