q-Analogues of multiparameter non-central Stirling and generalized harmonic numbers
نویسندگان
چکیده
Keywords: Stirling numbers q-Stirling numbers Multiparameter non-central Stirling numbers Comtet numbers q-Analogue Harmonic numbers Generalized q-harmonic numbers a b s t r a c t In this paper we derive q-analogues of the multiparameter non-central Stirling numbers of the first and second kind, introduced by El-Desouky. Moreover, recurrence relations, explicit formulas and a connection between these numbers and generalized q-harmonic numbers are obtained. Furthermore, some important special cases and new combinatorial identities are given. Finally, algorithms of these numbers and matrix representation using Maple are derived.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 232 شماره
صفحات -
تاریخ انتشار 2014