Affiliation:
1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China
Abstract
In this work, we establish some characteristics for a sequence, Aα(n,k), including recurrence relations, generating function and inversion formula, etc. Based on the sequence, we derive, by means of the generating function approach, some transformation formulas concerning certain combinatorial numbers named after Lah, Stirling, harmonic, Cauchy and Catalan, as well as several closed finite sums. In addition, the relationship between Aα(n,k) and r-Whitney–Lah numbers is established, and some formulas for the r-Whitney–Lah numbers are obtained.
Funder
Zhoukou Normal University high-level talents start-up funds research project
Reference14 articles.
1. Choi, J., Qureshi, M.I., Bhat, A.H., and Majid, J. (2021). Reduction formulas for generalized hypergeometric series associated with new sequences and applications. Fractal Frac., 5.
2. r-Whitney numbers of Dowling lattices;Cheon;Discrete Math.,2012
3. New combinatorial interpretations of r-Whitney and r-Whitney–Lah numbers;Gyimesi;Discrete Appl. Math.,2019
4. A (p, q)-analogue of the r-Whitney-Lah numbers;Ramirez;J. Integer Seq.,2016
5. Comtet, L. (1974). Advanced Combinatorics, D. Reidel Pub. Co.
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