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Huang, R.H. and Chen, B.E. (2011) Some Conclusions on the Generalized Stirling Number of the Second Kind. Journal of Hanshan Normal University, 3, 29-31.

has been cited by the following article:

• TITLE: Generalization of Stirling Number of the Second Kind and Combinatorial Identity

  AUTHORS: Ji Peng

  KEYWORDS: Combinatorics, Combinatorial Identity, Stirling Numbers, Calculation Formula

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.6, June 15, 2020

  ABSTRACT: The Stirling numbers of second kind and related problems are widely used in combinatorial mathematics and number theory, and there are a lot of research results. This article discuss the function: ∑AC11 AC22 ···ACkk (C1+C2+···+Ck=N-K, Ci≥0), obtain its calculation formula and a series of conclusions, which generalize the results of existing literature, and further obtain the combinatorial identity: ∑(-1)K-i*C(K-1,K-i)C(A-1+i,N-1)=C(A,N-K).