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Acta Universitatis Sapientiae, Mathematica
Volume 8 (2016): Issue 2 (December 2016)
Open Access
Several identities involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers
Feng Qi
Feng Qi
,
Xiao-Ting Shi
Xiao-Ting Shi
and
Fang-Fang Liu
Fang-Fang Liu
| Jan 23, 2017
Acta Universitatis Sapientiae, Mathematica
Volume 8 (2016): Issue 2 (December 2016)
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Published Online:
Jan 23, 2017
Page range:
282 - 297
Received:
Jun 12, 2016
DOI:
https://doi.org/10.1515/ausm-2016-0019
Keywords
identity
,
Cauchy number
,
Lah number
,
Stirling number
,
falling factorial
,
rising factorial
,
Faà di Bruno formula
© 2016 Feng Qi et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
Feng Qi
Xiao-Ting Shi
Department of Mathematics, College of Science, Tianjin Polytechnic University, China
Fang-Fang Liu
Department of Mathematics, College of Science, Tianjin Polytechnic University, China