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

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 p...

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Bibliographic Details
Published in:Indian journal of pure and applied mathematics 2020-12, Vol.51 (4), p.1713-1727
Main Authors: Belbachir, Hacène, Djemmada, Yahia
Format: Article
Language:English
Subjects:
Applications of Mathematics
Factorials
Linear transformations
Mathematics
Mathematics and Statistics
Numerical Analysis
Operators (mathematics)
Polynomials
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Description
Summary: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-020-0491-8