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

Year 2015, Volume: 3 Issue: 3, 97 - 101, 26.06.2015

Naseem Khan

Abstract

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

References

  • 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).

Khursheed Ahmad1and Naseem Ahmad Khan2

Year 2015, Volume: 3 Issue: 3, 97 - 101, 26.06.2015

Naseem Khan

Abstract

References

  • 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).
There are 8 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Naseem Khan This is me

Publication Date June 26, 2015
Published in Issue Year 2015 Volume: 3 Issue: 3

Cite

APA Khan, N. (2015). Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t). New Trends in Mathematical Sciences, 3(3), 97-101.
AMA Khan N. Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t). New Trends in Mathematical Sciences. June 2015;3(3):97-101.
Chicago Khan, Naseem. “Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t)”. New Trends in Mathematical Sciences 3, no. 3 (June 2015): 97-101.
EndNote Khan N (June 1, 2015) Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t). New Trends in Mathematical Sciences 3 3 97–101.
IEEE N. Khan, “Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t)”, New Trends in Mathematical Sciences, vol. 3, no. 3, pp. 97–101, 2015.
ISNAD Khan, Naseem. “Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t)”. New Trends in Mathematical Sciences 3/3 (June 2015), 97-101.
JAMA Khan N. Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t). New Trends in Mathematical Sciences. 2015;3:97–101.
MLA Khan, Naseem. “Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t)”. New Trends in Mathematical Sciences, vol. 3, no. 3, 2015, pp. 97-101.
Vancouver Khan N. Polynomial Sets Generated By etφ1(x1t)φ2(x2t)φ3(x3t). New Trends in Mathematical Sciences. 2015;3(3):97-101.