A note on Chebyshev polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2001 Italy English Publisher:Springer Science and Business Media LLCJournal:ANNALI DELL UNIVERSITA DI FERRARA, volume 47, pages 107-115 (issn: 0430-3202, eissn: 1827-1510,

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Authors: DATTOLI G.; SACCHETTI, Dario; CESARANO C.;

doi: 10.1007/bf02838178

handle: 11573/83784

A note on Chebyshev polynomials

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Abstract

Here new families of generating functions and identities concerning the Chebyshev polynomials are derived. It is shown that the proposed method allows the derivation of sum rules involving products of Chebyshev polynomials and addition theorems. The possibility of extending the results to include generating functions involving products of Chebyshev and other polynomials is finally analyzed.

Country

Italy

Related Organizations

Roma Tre University
Italy
Sapienza University of Rome
Italy

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), addition theorems, generating functions, Chebyshev polynomials

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