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Generalized Tepper’s Identity and Its Application

Author

Listed:
  • Dmitry Kruchinin

    (Department of Complex Information Security of Computer Systems, Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, Russia)

  • Vladimir Kruchinin

    (Institute of Innovation, Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, Russia)

  • Yilmaz Simsek

    (Department of Mathematics, Akdeniz University, 07070 Antalya, Turkey)

Abstract

The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the Bernoulli numbers and polynomials, the Euler numbers and polynomials, and the Stirling numbers. Moreover, we give applications related to the Tepper identity and these numbers and polynomials.

Suggested Citation

  • Dmitry Kruchinin & Vladimir Kruchinin & Yilmaz Simsek, 2020. "Generalized Tepper’s Identity and Its Application," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:243-:d:320476
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    References listed on IDEAS

    as
    1. Yuankui Ma & Wenpeng Zhang, 2018. "Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers," Mathematics, MDPI, vol. 6(12), pages 1-8, December.
    2. Dae San Kim & Taekyun Kim & Sang-Hun Lee, 2013. "Umbral Calculus and the Frobenius-Euler Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
    3. Guohui Chen & Li Chen, 2018. "Some Identities Involving the Fubini Polynomials and Euler Polynomials," Mathematics, MDPI, vol. 6(12), pages 1-6, December.
    4. Shimeng Shen & Li Chen, 2019. "Some Types of Identities Involving the Legendre Polynomials," Mathematics, MDPI, vol. 7(2), pages 1-7, January.
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    Cited by:

    1. Daeyeoul Kim & Yilmaz Simsek, 2021. "A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function," Mathematics, MDPI, vol. 9(3), pages 1-11, January.

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