NOTE ON STIRLING POLYNOMIALS

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Published: Aug 15, 2013
DOI: https://doi.org/10.14403/jcms.2013.26.3.591
Keywords:
Stirling numbers of the first and second kinds, Eulerian numbers, second-order Eulerian numbers, harmonic numbers, generalized harmonic numbers, gamma function, Hurwitz (or generalized) zeta function, Psi (or Digamma) function, Polygamma functions, Pochhammer symbol, Stirling polynomials
Mathematics Subject Classification (2020):
Primary 11B68, 11B73, 33B15, Secondary 33C05, 33C45

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Junesang Choi
Department of Mathematics, Dongguk University

Abstract





A large number of sequences of polynomials and numbers have arisen in mathematics. Some of them, for example, Bernoulli polynomials and numbers, have been investigated deeply and widely. Here we aim at presenting certain interesting and (potentially) useful identities involving mainly in the second-order Eulerian numbers and Stirling polynomials, which seem to have not been given so much attention.





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Article Details

Issue
Vol. 26 No. 3 (2013)
Section
Articles