Generalized geometric polynomials via Steffensen’s generalized factorials and Tanny’s operators. (English) Zbl 1462.05008
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.
MSC:
| 05A10 | Factorials, binomial coefficients, combinatorial functions |
| 05A18 | Partitions of sets |
| 05A19 | Combinatorial identities, bijective combinatorics |
| 05A40 | Umbral calculus |
| 11B37 | Recurrences |
| 11B83 | Special sequences and polynomials |
| 11C08 | Polynomials in number theory |
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