ON p, q-DIFFERENCE OPERATOR
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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 uni ed 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.
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 uni ed 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.
참고문헌 (13)
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