대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권1호
  • /
  • Pages.293-301
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  • 2022
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON SOME NEW TYPE OF GENERATING FUNCTIONS OF GENERALIZED POISSON-CHARLIER POLYNOMIALS

  • Ahmed, Shakeel (Department of Applied Mathematics Faculty of Engineering Aligarh Muslim University) ;
  • Khan, Mumtaz Ahmad (Department of Applied Mathematics Faculty of Engineering Aligarh Muslim University)
  • 투고 : 2021.01.05
  • 심사 : 2021.05.24
  • 발행 : 2022.01.31
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초록

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.

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참고문헌

  1. F. Brafman, Some generating functions for Laguerre and Hermite polynomials, Canadian J. Math. 9 (1957), 180-187. http://doi.org/10.4153/CJM-1957-020-1
  2. G. Dattoli, C. Cesarano, and D. Sacchetti, Pseudo-Bessel functions and applications, Georgian Math. J. 9 (2002), no. 3, 473-480. https://doi.org/10.1515/GMJ.2002.473
  3. M. A. Khan and S. Ahmed, On some new generating functions for Poisson-Charlier polynomials of several variables, Math. Sci. Res. J. 15 (2011), no. 5, 127-136.
  4. E. D. Rainville, Special functions, Reprint of 1960 first edition, Chelsea Publishing Co., Bronx, NY, 1971.
  5. J. P. Singhal and H. M. Srivastava, A class of bilateral generating functions for certain classical polynomials, Pacific J. Math. 42 (1972), 755-762. http://projecteuclid.org/euclid.pjm/1102959810 https://doi.org/10.2140/pjm.1972.42.755
  6. H. M. Srivastava and H. L. Manocha, A treatise on generating functions, Ellis Horwood Series: Mathematics and its Applications, Ellis Horwood Ltd., Chichester, 1984.