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A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers

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  • J. Y. Kang
  • C. S. Ryoo

Abstract

Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the polynomials in complex plane. We find out some identities and properties related to polynomials . Finally, we also derive interesting relations between polynomials , Stirling numbers, central factorial numbers, and Euler numbers.

Suggested Citation

  • J. Y. Kang & C. S. Ryoo, 2013. "A Research on a Certain Family of Numbers and Polynomials Related to Stirling Numbers, Central Factorial Numbers, and Euler Numbers," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, October.
    • Handle: RePEc:hin:jnljam:158130
    DOI: 10.1155/2013/158130
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    Cited by:

    1. Francesco Aldo Costabile & Maria Italia Gualtieri & Anna Napoli, 2022. "General Odd and Even Central Factorial Polynomial Sequences," Mathematics, MDPI, vol. 10(6), pages 1-22, March.

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