Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A q-ANALOGUE OF THE GENERALIZED FACTORIAL NUMBERS

  • Song, Seok-Zun (DEPARTMENT OF MATHEMATICS JEJU NATIONAL UNIVERSITY) ;
  • Cheon, Gi-Sang (DEPARTMENT OF MATHEMATICS SUNGKYUNKWAN UNIVERSITY) ;
  • Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION GYEONGSANG NATIONAL UNIVERSITY) ;
  • Beasley, Leroy B. (DEPARTMENT OF MATHEMATICS AND STATISTICS UTAH STATE UNIVERSITY)
  • Published : 2010.05.01
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Abstract

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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References

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