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Flajolet, P., Fusy, E., Gourdon, X., Panario, D. and Pouyanne, N. (2006) A Hybrid of Darboux’s Method and Singularity Analysis in Combinatorial Asymptotics. The Electronic Journal of Combinatorics, 13.

has been cited by the following article:

• TITLE: Sums of Involving the Harmonic Numbers and the Binomial Coefficients

  AUTHORS:   Wuyungaowa, Sudan Wang

  KEYWORDS: Harmonic Numbers, Euler Sum, Riordan Arrays, Asymptotic Values

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.5 No.2, May 25, 2015

  ABSTRACT: Let the numbers be defined by , where and are the exponential complete Bell polynomials. In this paper, by means of the methods of Riordan arrays, we establish general identities involving the numbers , binomial coefficients and inverse of binomial coefficients. From these identities, we deduce some identities involving binomial coefficients, Harmonic numbers and the Euler sum identities. Furthermore, we obtain the asymptotic values of some summations associated with the numbers by Darboux’s method.