1. Several polynomials associated with the harmonic numbers
- Author
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Sang-Gu Lee, Suk-Geun Hwang, and Gi-Sang Cheon
- Subjects
Pure mathematics ,Harmonic polynomials ,Mathematics::Combinatorics ,Gegenbauer polynomials ,Applied Mathematics ,Discrete orthogonal polynomials ,Bernoulli polynomials ,Nörlund polynomials ,Cauchy numbers ,Combinatorics ,Classical orthogonal polynomials ,Multiple gamma functions ,Difference polynomials ,Riordan array ,TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY ,Generalized Stirling polynomials ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,Wilson polynomials ,Hahn polynomials ,Orthogonal polynomials ,Harmonic numbers ,Discrete Mathematics and Combinatorics ,Stirling polynomials ,Mathematics - Abstract
We develop polynomials in [email protected]?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.
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