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On some new type of generating functions of generalized Poisson-Charlier polynomials

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The present paper concerns with a study of certain generating functions and summation formulas of generalized Poisson-Charlier polynomials. Some special cases are also discussed.

Abstract

The present paper concerns with a study of certain generating functions and summation formulas of generalized Poisson-Charlier polynomials. Some special cases are also discussed.

참고문헌 (6)

  1. Fred Brafman, "Some generating functions for Laguerre and Hermite polynomials", Canadian Journal of Mathematics, 9, pp.180~187 (1957), Canadian Mathematical Society[DOI]
  2. G. Dattoli, "Pseudo-Bessel functions and applications", Georgian Math. J, 9(3), pp.473~480 (2002)
  3. M. A. Khan, "On some new generating functions for Poisson-Charlier polynomials of several variables", Math. Sci. Res. J, 15(5), pp.127~136 (2011)
  4. E. D. Rainville, "Special functions" (1971), Chelsea Publishing Co
  5. J. P. Singhal, "A class of bilateral generating functions for certain classical polynomials", Pacic J. Math, 42, pp.755~762 (1972)
  6. H. M. Srivastava, "A treatise on generating functions" (1984), Ellis Horwood Ltd

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