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Truncated Fubini Polynomials

Author

Listed:
  • Ugur Duran

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

  • Mehmet Acikgoz

    (Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, TR-27310 Gaziantep, Turkey)

Abstract

In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property. We also give some formulas related to the truncated Stirling numbers of the second kind and Apostol-type Stirling numbers of the second kind. Moreover, we derive multifarious correlations associated with the truncated Euler polynomials and truncated Bernoulli polynomials.

Suggested Citation

  • Ugur Duran & Mehmet Acikgoz, 2019. "Truncated Fubini Polynomials," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:431-:d:231459
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    Citations

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    Cited by:

    1. Ghulam Muhiuddin & Waseem Ahmad Khan & Ugur Duran, 2021. "Two-Variable Type 2 Poly-Fubini Polynomials," Mathematics, MDPI, vol. 9(3), pages 1-13, January.
    2. Ugur Duran & Mehmet Acikgoz, 2020. "On Degenerate Truncated Special Polynomials," Mathematics, MDPI, vol. 8(1), pages 1-43, January.
    3. 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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