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q-analogues of multiparameter non-central Stirling numbers
Last modified: 2014-03-23
Abstract
In this paper we derive q-analogues of the multiparameter non-central Stirling numbers of the first and second kind. 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.