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

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  • Hacène Belbachir

    (USTHB)

  • Yahia Djemmada

    (USTHB)

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.

Suggested Citation

  • Hacène Belbachir & Yahia Djemmada, 2020. "Generalized Geometric Polynomials Via Steffensen’s Generalized Factorials and Tanny’s Operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1713-1727, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0491-8
    DOI: 10.1007/s13226-020-0491-8
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    References listed on IDEAS

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    1. Khristo N. Boyadzhiev, 2005. "A series transformation formula and related polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-18, January.
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