INTEGRAL REPRESENTATION FOR SOME GENERALIZED POLY-CAUCHY NUMBERS

Abstract : In this note, we establish an integral representation for a special function E_{s,α} (z) and apply it to some generalized poly-Cauchy numbers c^(s)_{n,α} generated by the function E_{s,α} (log(1 + t)). We recover, in the special case α = s = 1, the integral representation of the Bernoulli numbers of the second kind obtained by Feng Qi by quite different methods.
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https://hal.archives-ouvertes.fr/hal-01370757
Contributor : Jamel Chikhi <>
Submitted on : Friday, September 23, 2016 - 12:15:28 PM
Last modification on : Friday, July 20, 2018 - 11:13:07 AM

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J Chikhi. INTEGRAL REPRESENTATION FOR SOME GENERALIZED POLY-CAUCHY NUMBERS. 2016. ⟨hal-01370757⟩

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