Inverse Generalized Harmonic Numbers with Riordan Arrays

Gao Wen Xi; Lan Long; Xue Quan Tian; Zhao Hui Chen

doi:10.4028/www.scientific.net/AMR.842.750

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 842Inverse Generalized Harmonic Numbers with Riordan...

Inverse Generalized Harmonic Numbers with Riordan Arrays

Abstract:

In this paper, By observing that the infinite triangle obtained from some generalized harmonic numbers follows a Riordan array, we obtain connections between the Stirling numbers of both kinds and other inverse generalized harmonic numbers. Further, we proved some combinatorial sums and inverse generalized harmonic number identities.

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Periodical:

Advanced Materials Research (Volume 842)

Pages:

750-753

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.842.750

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Online since:

November 2013

Authors:

Gao Wen Xi*, Lan Long, Xue Quan Tian, Zhao Hui Chen

Keywords:

Harmonic Numbers, Harmonic Polynomial, Inverse Generalized Harmonic Numbers, Stirling Numbers

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