Title: Identities Involving Generalized Harmonic Numbers and Other Special Combinatorial Sequences
Abstract: In this paper, we study the properties of the generalized harmonic numbers Hn,k,r(�,�). In particular, by means of the method of coefficients, generating functions and Riordan arrays, we establish some identities involving the numbers Hn,k,r(�,�), Cauchy numbers, generalized Stirling numbers, Genocchi numbers and higher order Bernoulli numbers. Furthermore, we obtain the asymptotic values of some summations associated with the numbers Hn,k,r(�,�) by Darboux’s method and Laplace’s method.
Publication Year: 2012
Publication Date: 2012-01-01
Language: en
Type: article
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Cited By Count: 6
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