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Article

Appell-Type Functions and Chebyshev Polynomials

1
Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo, 1, 00146 Roma, Italy
2
Section of Mathematics, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(8), 679; https://doi.org/10.3390/math7080679
Received: 13 June 2019 / Revised: 10 July 2019 / Accepted: 26 July 2019 / Published: 30 July 2019
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2019)
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. View Full-Text
Keywords: Bessel functions; Appell–Bessel functions; generating functions; Chebyshev polynomials Bessel functions; Appell–Bessel functions; generating functions; Chebyshev polynomials
MDPI and ACS Style

Natalini, P.; Ricci, P.E. Appell-Type Functions and Chebyshev Polynomials. Mathematics 2019, 7, 679. https://doi.org/10.3390/math7080679

AMA Style

Natalini P, Ricci PE. Appell-Type Functions and Chebyshev Polynomials. Mathematics. 2019; 7(8):679. https://doi.org/10.3390/math7080679

Chicago/Turabian Style

Natalini, Pierpaolo, and Paolo E. Ricci 2019. "Appell-Type Functions and Chebyshev Polynomials" Mathematics 7, no. 8: 679. https://doi.org/10.3390/math7080679

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