Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Connection problems for the generalized hypergeometric Appell polynomials

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Published Aug 12, 2020
DOI https://doi.org/10.15673/tmgc.v13i2.1733

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Nataliia Luno
Vasyl’ Stus Donetsk National Univercity
https://orcid.org/0000-0002-3280-0358

Abstract

Using a straightforward approach, we derived the solution of the inverse problem for the generalized hypergeometric Appell polynomials. Also, we established the recurrence formulas for the solutions of the connection problem between them and the Bernoulli polynomials, as well as between them and the Gould-Hopper polynomials and between two different generalized hypergeometric Appell polynomial families. In addition, we present one new recurrence identity for the generalized hypergeometric Appell polynomials.

Keywords:
Appell polynomials, connection problems, group representation, formal power series, recurrence equation, differential equation

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How to Cite
Luno, N. (2020). Connection problems for the generalized hypergeometric Appell polynomials. Proceedings of the International Geometry Center, 13(2), 1-18. https://doi.org/10.15673/tmgc.v13i2.1733
Issue
Vol 13 No 2 (2020)
Section
Papers

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Author Biography

Nataliia Luno, Vasyl’ Stus Donetsk National Univercity

Department of Applied Mathematics, PhD Student

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