Appell-Type Functions and Chebyshev Polynomials

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 o...

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Main Authors:	Pierpaolo Natalini, Paolo Emilio Ricci
Format:	Article
Language:	English
Published:	MDPI AG 2019-07-01
Series:	Mathematics
Subjects:	Bessel functions Appell–Bessel functions generating functions Chebyshev polynomials
Online Access:	https://www.mdpi.com/2227-7390/7/8/679

id	doaj-bcf881d0df8c4e11b3f3d8cbb6c59942
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spelling	doaj-bcf881d0df8c4e11b3f3d8cbb6c599422020-11-24T21:30:42ZengMDPI AGMathematics2227-73902019-07-017867910.3390/math7080679math7080679Appell-Type Functions and Chebyshev PolynomialsPierpaolo Natalini0Paolo Emilio Ricci1Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre, Largo San Leonardo Murialdo, 1, 00146 Roma, ItalySection of Mathematics, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, ItalyIn 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.https://www.mdpi.com/2227-7390/7/8/679Bessel functionsAppell–Bessel functionsgenerating functionsChebyshev polynomials
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pierpaolo Natalini Paolo Emilio Ricci
spellingShingle	Pierpaolo Natalini Paolo Emilio Ricci Appell-Type Functions and Chebyshev Polynomials Mathematics Bessel functions Appell–Bessel functions generating functions Chebyshev polynomials
author_facet	Pierpaolo Natalini Paolo Emilio Ricci
author_sort	Pierpaolo Natalini
title	Appell-Type Functions and Chebyshev Polynomials
title_short	Appell-Type Functions and Chebyshev Polynomials
title_full	Appell-Type Functions and Chebyshev Polynomials
title_fullStr	Appell-Type Functions and Chebyshev Polynomials
title_full_unstemmed	Appell-Type Functions and Chebyshev Polynomials
title_sort	appell-type functions and chebyshev polynomials
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2019-07-01
description	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.
topic	Bessel functions Appell–Bessel functions generating functions Chebyshev polynomials
url	https://www.mdpi.com/2227-7390/7/8/679
work_keys_str_mv	AT pierpaolonatalini appelltypefunctionsandchebyshevpolynomials AT paoloemilioricci appelltypefunctionsandchebyshevpolynomials
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Appell-Type Functions and Chebyshev Polynomials

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