Generalized Geometric Polynomials Via Steffensen’s Generalized Factorials and Tanny’s Operators

Hacène Belbachir () and Yahia Djemmada ()
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Hacène Belbachir: USTHB
Yahia Djemmada: USTHB

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1713-1727

Abstract: Abstract Our purpose is to give a generalization of geometric polynomials by applying an appropriate linear transformation on the generalized factorial function. Some identities are investigated including explicit formula, generating function and recurrence relations. Furthermore, some relations with other polynomials are given.

Keywords: Geometric polynomials; set partitions; Eulerian numbers; r-Whitney polynomials; 05A10; 05A19; 05A40; 11B37; 11B83; 11C08 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0491-8

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