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On Obtaining Dual Sequences Via Quasi-Monomiality

On Obtaining Dual Sequences Via Quasi-Monomiality In this paper, we introduce a method to obtain the dual sequence of a given polynomial set using the lowering operator associated with the involved polynomials. As application, we derive polynomial expansions of analytic functions. The particular case corresponding to Boas–Buck polynomials allows us to unify many polynomial expansions of analytic functions in the literature. This method can be useful in studying many problems arising in the theory of polynomials as the so-called connection and linearization problems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On Obtaining Dual Sequences Via Quasi-Monomiality

Georgian Mathematical Journal , Volume 9 (3) – Sep 1, 2002

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References (17)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2002.413
Publisher site
See Article on Publisher Site

Abstract

In this paper, we introduce a method to obtain the dual sequence of a given polynomial set using the lowering operator associated with the involved polynomials. As application, we derive polynomial expansions of analytic functions. The particular case corresponding to Boas–Buck polynomials allows us to unify many polynomial expansions of analytic functions in the literature. This method can be useful in studying many problems arising in the theory of polynomials as the so-called connection and linearization problems.

Journal

Georgian Mathematical Journalde Gruyter

Published: Sep 1, 2002

Keywords: Polynomial set; dual sequence; quasi-monomiality; expansion theorem; Boas–Buck polynomials; generalized Taylor series

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