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Two-Variable Type 2 Poly-Fubini Polynomials

Author

Listed:
  • Ghulam Muhiuddin

    (Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Waseem Ahmad Khan

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

  • Ugur Duran

    (Department of the Basic Concepts of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, Hatay TR-31200, Turkey)

Abstract

In the present work, a new extension of the two-variable Fubini polynomials is introduced by means of the polyexponential function, which is called the two-variable type 2 poly-Fubini polynomials. Then, some useful relations including the Stirling numbers of the second and the first kinds, the usual Fubini polynomials, and the higher-order Bernoulli polynomials are derived. Also, some summation formulas and an integral representation for type 2 poly-Fubini polynomials are investigated. Moreover, two-variable unipoly-Fubini polynomials are introduced utilizing the unipoly function, and diverse properties involving integral and derivative properties are attained. Furthermore, some relationships covering the two-variable unipoly-Fubini polynomials, the Stirling numbers of the second and the first kinds, and the Daehee polynomials are acquired.

Suggested Citation

  • Ghulam Muhiuddin & Waseem Ahmad Khan & Ugur Duran, 2021. "Two-Variable Type 2 Poly-Fubini Polynomials," Mathematics, MDPI, vol. 9(3), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:3:p:281-:d:490418
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    References listed on IDEAS

    as
    1. Ugur Duran & Mehmet Acikgoz, 2019. "Truncated Fubini Polynomials," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    2. Ugur Duran & Mehmet Acikgoz, 2020. "On Degenerate Truncated Special Polynomials," Mathematics, MDPI, vol. 8(1), pages 1-43, January.
    3. Dan-Dan Su & Yuan He, 2019. "Some Identities for the Two Variable Fubini Polynomials," Mathematics, MDPI, vol. 7(2), pages 1-11, January.
    Full references (including those not matched with items on IDEAS)

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    1. Ugur Duran & Mehmet Acikgoz, 2020. "On Degenerate Truncated Special Polynomials," Mathematics, MDPI, vol. 8(1), pages 1-43, January.
    2. Sunil Kumar Sharma & Waseem A. Khan & Cheon Seoung Ryoo, 2020. "A Parametric Kind of the Degenerate Fubini Numbers and Polynomials," Mathematics, MDPI, vol. 8(3), pages 1-13, March.

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