Appell-Type Functions and Chebyshev Polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Jul 2019 Italy English Publisher:MDPI AGJournal:Mathematics, volume 7, page 679 (eissn: 2227-7390,

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Authors: Natalini, Pierpaolo; Ricci, Paolo Emilio;

doi: 10.3390/math7080679

handle: 11590/379192

Appell-Type Functions and Chebyshev Polynomials

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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.

Country

Italy

Related Organizations

Roma Tre University
Italy

Keywords

Bessel functions, generating functions, QA1-939, Chebyshev polynomials, Mathematics, Appell–Bessel functions

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