On generalized Stirling numbers

  • Authors:

  • Long-Yi Tsai

  • Affiliations:

  • Department of Mathematical Sciences, National Chengchi University, Taipei 116, Taiwan

  • Venue:
  • Analysis, combinatorics and computing
  • Year:
  • 2002

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Abstract

We use some elementary transformation to give the explicit solution of some linear differential-difference equations which is related to the vertical generating functions of the generalized Stirling numbers. Some asymptotic estimates for the coefficients in the expansion of the generating functions are obtained.