JP Journal of Algebra, Number Theory and Applications
Volume 15, Issue 2, Pages 137 - 155
(December 2009)
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A p, q-ANALOGUE OF THE GENERALIZED STIRLING NUMBERS
Roberto B. Corcino (Philippines) and Charles B. Montero (Philippines)
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Abstract: In this paper, we define a p, q-analogue of the generalized Stirling numbers in terms of the p, q-exponential-type Stirling numbers and obtain some necessary properties including the orthogonality and inverse relations, recurrence relations, explicit formulas and generating functions. Moreover, we give some combinatorial interpretations for the p, q-analogue of the generalized Stirling numbers in the context of certain A-tableau defined using Ferrers diagram. |
Keywords and phrases: Stirling numbers, p, q-exponential-type Stirling numbers, p, q-binomial coefficients, q- and p, q-Stirling numbers, Ferrers diagram A-tableau. |
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