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http://dx.doi.org/10.4134/JKMS.2012.49.3.537

ON p, q-DIFFERENCE OPERATOR  

Corcino, Roberto B. (Department of Mathematics Mindanao State University)
Montero, Charles B. (Department of Mathematics Mindanao State University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 537-547 More about this Journal
Abstract
In this paper, we define a $p$, $q$-difference operator and obtain an explicit formula which is used to express the $p$, $q$-analogue of the unified generalization of Stirling numbers and its exponential generating function in terms of the $p$, $q$-difference operator. Explicit formulas for the non-central $q$-Stirling numbers of the second kind and non-central $q$-Lah numbers are derived using the new $q$-analogue of Newton's interpolation formula. Moreover, a $p$, $q$-analogue of Newton's interpolation formula is established.
Keywords
$p$, $q$-difference operator; $q$-Stirling numbers; $q$-Lah numbers; Newton's interpolation formula; exponential generating function;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)  (Related Records In Web of Science)
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