%0 Journal Article
%T A Relationship between the Partial Bell Polynomials and Alternating Run  Polynomials
%A Yanan Feng
%A Zhe Wang
%J Open Journal of Discrete Mathematics
%P 49-54
%@ 2161-7643
%D 2023
%I Scientific Research Publishing
%R 10.4236/ojdm.2023.132005
%X In this
note, we first derive an exponential generating function of the alternating run
polynomials. We then deduce an explicit formula of the alternating run
polynomials in terms of the partial Bell polynomials.
%K Alternating Run Polynomials
%K Bell Polynomials
%K Permutations
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=124576