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A q-analogue of the generalized factorial numbers

A q-analogue of the generalized factorial numbers

2010
Abstract
Abstract. In this paper, more generalized q-factorial coefficients are examined by a natural extension of the q-factorial on a sequence of any numbers. This immediately leads to the notions of the extended q-Stirling numbers of both kinds and the extended q-Lah numbers. All results described in this paper may be reduced to well-known results when we set q = 1 or use special sequences. 1.

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