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Appell-Type Functions and Chebyshev Polynomials

Author

Listed:
  • Pierpaolo Natalini

    (Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo, 1, 00146 Roma, Italy)

  • Paolo Emilio Ricci

    (Section of Mathematics, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy)

Abstract

In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used to separate the even part from the odd part of the Appell polynomials and of the Appell–Bessel functions.

Suggested Citation

  • Pierpaolo Natalini & Paolo Emilio Ricci, 2019. "Appell-Type Functions and Chebyshev Polynomials," Mathematics, MDPI, vol. 7(8), pages 1-8, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:679-:d:252859
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    Cited by:

    1. Monairah Alansari & Mumtaz Riyasat & Subuhi Khan & Kaleem Raza Kazmi, 2019. "Finding Determinant Forms of Certain Hybrid Sheffer Sequences," Mathematics, MDPI, vol. 7(11), pages 1-16, November.

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