Representations by degenerate Daehee polynomials

In this paper, we consider the problem of representing any polynomial in terms of the degenerate Daehee polynomials and more generally of the higher-order degenerate Daehee polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.

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Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Poland), 2022-04, Vol.20 (1), p.179-194
Main Authors: Kim, Taekyun, Kim, Dae San, Lee, Hyunseok, Kwon, Jongkyum
Format: Article
Language:English
Subjects:
05A19
05A40
11B68
11B83
degenerate Daehee polynomial
higher-order degenerate Daehee polynomial
Polynomials
umbral calculus
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Description
Summary:In this paper, we consider the problem of representing any polynomial in terms of the degenerate Daehee polynomials and more generally of the higher-order degenerate Daehee polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2022-0013