DOI QR코드

DOI QR Code

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)
  • 발행 : 2010.05.01

초록

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.

키워드

참고문헌

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피인용 문헌

  1. ON p, q-DIFFERENCE OPERATOR vol.49, pp.3, 2012, https://doi.org/10.4134/JKMS.2012.49.3.537
  2. On two kinds of q-analogues of generalized Stirling numbers vol.43, pp.2, 2017, https://doi.org/10.1007/s11139-016-9792-2