Logarithmic-Sheffer polynomials of the second kind. (English) Zbl 1435.33017
Summary: In recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers, and several integer sequences related to them have been studied. In this article new sets of logarithmic-Sheffer polynomials are introduced. Connection with Bell numbers are shown.
MSC:
| 33C65 | Appell, Horn and Lauricella functions |
| 05A10 | Factorials, binomial coefficients, combinatorial functions |
| 11P81 | Elementary theory of partitions |
Keywords:
Sheffer polynomials; generating functions; monomiality principle; shift operators; combinatorial analysisSoftware:
OEISReferences:
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