CERTAIN FORMULAS INVOLVING EULERIAN NUMBERS Choi, Junesang;
In contrast with numerous identities involving the binomial coefficients and the Stirling numbers of the first and second kinds, a few identities involving the Eulerian numbers have been known. The objective of this note is to present certain interesting and (presumably) new identities involving the Eulerian numbers by mainly making use of Worpitzky's identity.
Eulerian numbers;Stirling numbers of the first and second kinds;Gamma function;Psi (or Digamma) function;Poly gamma functions;Pochhammer symbol;Harmonic numbers;Generalized harmonic numbers;Worpitzky's identity;Hurwitz (or generalized) Zeta function;
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