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http://dx.doi.org/10.4134/JKMS.2007.44.2.487

GENERALIZED HARMONIC NUMBER IDENTITIES AND A RELATED MATRIX REPRESENTATION  

Cheon, Gi-Sang (Department of Mathematics Sungkyunkwan University)
El-Mikkawy Moawwad E.A. (Department of mathematics Faculty of Science of Mansoura University)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.2, 2007 , pp. 487-498 More about this Journal
Abstract
In this paper, we obtain important combinatorial identities of generalized harmonic numbers using symmetric polynomials. We also obtain the matrix representation for the generalized harmonic numbers whose inverse matrix can be computed recursively.
Keywords
harmonic numbers; Riemann zeta function; Stirling numbers; Bernoulli numbers; symmetric polynomials;
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Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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