Ordinary generating function for a class of Appell polynomials and Stirling symmetric polynomials

Hacène Belbachir ()
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Hacène Belbachir: USTHB, Faculty of Mathematics, RECITS Laboratory, BP 32

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 138-143

Abstract: Abstract We give an explicit form for the ordinary generating function of a class of Appell polynomials. This class contains the Euler and Genocchi polynomials. The technic used also works for Bernoulli polynomials. In the sequel, we introduce the weighted generalized hyperharmonic numbers. We establish for this family of Appell polynomials an expression in terms of Stirling symmetric polynomials introduced in this paper.

Keywords: Generating functions; Appell polynomials; Euler polynomials; Genocchi polynomials; Stirling symmetric polynomials; Weighted generalized hyperharmonic numbers; r-Stirling numbers; 11B68; 05A15; 11B83; 11C08; 05A19; 40G99 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00010-1

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