On r-Stirling Type Numbers of the First Kind

Cristina B. Corcino¹ and Roberto B. Corcino^2,

¹Mathematics Department, Cebu Normal University, Cebu City, Philippines 6000

²Research Institute for Computational Mathematics and Physics, Cebu Normal University, Cebu City, Philippines 6000

Cite this paper:
Cristina B. Corcino and Roberto B. Corcino. On r-Stirling Type Numbers of the First Kind. Turkish Journal of Analysis and Number Theory. 2019; 7(3):65-69. doi: 10.12691/tjant-7-3-2

Abstract

Some combinatorial properties of -Stirling numbers are proved. Moreover, two asymptotic formulas for -Stirling numbers of the first kind derived using different methods are discussed and corresponding asymptotic formulas for the -Stirling type numbers of the first kind are obtained as corollaries.

Keywords:
asymptotic analysis asymptotic formula Stirling numbers generalized Stirling numbers

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