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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.
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참고문헌 (17)
참고문헌 신청
A. De Medicis / 1995 / Generalized Stirling numbers, convolution formulae and p, q-analogues / Canad. J. Math. 47 (3) : 474 ~ 499
C. G. Wagner / 1996 / Generalized Stirling and Lah numbers / Discrete Math. 160 (1) : 199 ~ 218
C. Jordan / 1950 / Calculus of Finite Differences / Chelsea Pub. Co.
Ch. A. Charalambides / 1996 / On the q-differences of the generalized q-factorials / J. Statist. Plann. Inference 54 (1) : 31 ~ 43
Ch. A. Charalambides / 2004 / Non-central generalized q-factorial coefficients and q-Stirling numbers / Discrete Math. 275 (1) : 67 ~ 85
C. G. Wagner / 1996 / Generalized Stirling and Lah numbers / Discrete Math. 160 (1) : 199 ~ 218
C. Jordan / 1950 / Calculus of Finite Differences / Chelsea Pub. Co.
Ch. A. Charalambides / 1996 / On the q-differences of the generalized q-factorials / J. Statist. Plann. Inference 54 (1) : 31 ~ 43
Ch. A. Charalambides / 2004 / Non-central generalized q-factorial coefficients and q-Stirling numbers / Discrete Math. 275 (1) : 67 ~ 85
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