Several polynomials associated with the harmonic numbers

Authors:
Gi-Sang Cheon;Suk-Geun Hwang;Sang-Gu Lee
Affiliations:
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;Department of Mathematics Education, Kyungpook University, Taegu 702-701, Republic of Korea;Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
Venue:
Discrete Applied Mathematics
Year:
2007

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Abstract

We develop polynomials in z@?C for which some generalized harmonic numbers are special cases at z=0. By using the Riordan array method, we explore interesting relationships between these polynomials, the generalized Stirling polynomials, the Bernoulli polynomials, the Cauchy polynomials and the Norlund polynomials.