Title of article :
Euler-related sums
Author/Authors :
Sofo, Anthony Victoria University - Victoria University College, Australia
Abstract :
Purpose: The purpose of this paper is to develop a set of identities for Euler type sums of products of harmonic numbers and reciprocal binomial coefficients.Method: We use analytical methods to obtain our results.Results: We obtain identities for variant Euler sums of the type n =1 H2n nI n + kk, and its finite counterpart, whichgeneralize some results obtained by other authors.Conclusions: Identities are successfully achieved for the sums under investigation. Some published results have been successfully generalized.
Keywords :
Harmonic numbers , Binomial coefficients and gamma function , Polygamma function , Combinatorial series identities and summation formulas , Partial fraction approach
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences