First Remark on a Ζ-analogue of the Stirling Numbers
نویسنده
چکیده
The so-called ζ-analogues of the Stirling numbers of the first and second kind are considered. These numbers cover ordinary binomial and Gaussian coefficients, p, qStirling numbers and other combinatorial numbers studied with the help of object selection, Ferrers diagrams and rook theory. Our generalization includes these and now also the p, q-binomial coefficients. This special subfamily of F -nomial coefficients encompasses among others, Fibonomial ones. The recurrence relations with generating functions of the ζ-analogues are delivered here. A few examples of ζ-analogues are presented.
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