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A Note on the Laguerre-Type Appell and Hypergeometric Polynomials

Author

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  • Paolo Emilio Ricci

    (Dipartimento di Matematica, International Telematic University UniNettuno, 39 Corso Vittorio Emanuele II, I-00186 Rome, Italy)

  • Rekha Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada)

Abstract

The Laguerre derivative and its iterations have been used to define new sets of special functions, showing the possibility of generating a kind of parallel universe for mathematical entities of this kind. In this paper, we introduce the Laguerre-type Appell polynomials, in particular, the Bernoulli and Euler case, and we examine a set of hypergeometric Laguerre–Bernoulli polynomials. We show their main properties and indicate their possible extensions.

Suggested Citation

  • Paolo Emilio Ricci & Rekha Srivastava, 2022. "A Note on the Laguerre-Type Appell and Hypergeometric Polynomials," Mathematics, MDPI, vol. 10(11), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1951-:d:832635
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    References listed on IDEAS

    as
    1. Paolo Emilio Ricci, 2020. "Laguerre-Type Exponentials, Laguerre Derivatives and Applications. A Survey," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
    2. Srivastava, H.M. & Riyasat, Mumtaz & Khan, Subuhi & Araci, Serkan & Acikgoz, Mehmet, 2020. "A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays⋆," Applied Mathematics and Computation, Elsevier, vol. 369(C).
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    Cited by:

    1. Özat, Zeynep & Çekim, Bayram & Ali Özarslan, Mehmet, 2023. "Δω-Laguerre based Appell polynomials and their properties associated with some special polynomials," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    2. Hari Mohan Srivastava, 2022. "Some Families of Generating Functions Associated with Orthogonal Polynomials and Other Higher Transcendental Functions," Mathematics, MDPI, vol. 10(20), pages 1-23, October.

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