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A Parametric Kind of Fubini Polynomials of a Complex Variable

Author

Listed:
  • Sunil Kumar Sharma

    (College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia)

  • Waseem A. Khan

    (Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia)

  • Cheon Seoung Ryoo

    (Department of Mathematics, Hannam University, Daejeon 34430, Korea)

Abstract

In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well-known polynomials and numbers) for our introduced polynomials in a systematic way. Furthermore, we consider some relationships for parametric kind of Fubini polynomials associated with Bernoulli, Euler, and Genocchi polynomials and Stirling numbers of the second kind.

Suggested Citation

  • Sunil Kumar Sharma & Waseem A. Khan & Cheon Seoung Ryoo, 2020. "A Parametric Kind of Fubini Polynomials of a Complex Variable," Mathematics, MDPI, vol. 8(4), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:643-:d:348824
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    References listed on IDEAS

    as
    1. Khristo N. Boyadzhiev, 2005. "A series transformation formula and related polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-18, January.
    2. Cheon Seoung Ryoo & Waseem A. Khan, 2020. "On Two Bivariate Kinds of Poly-Bernoulli and Poly-Genocchi Polynomials," Mathematics, MDPI, vol. 8(3), pages 1-18, March.
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    Cited by:

    1. Noor Alam & Waseem Ahmad Khan & Cheon Seoung Ryoo, 2022. "A Note on Bell-Based Apostol-Type Frobenius-Euler Polynomials of Complex Variable with Its Certain Applications," Mathematics, MDPI, vol. 10(12), pages 1-26, June.

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