Journal of Integer Sequences, Vol. 18 (2015), Article 15.8.8

An Analytic Approach to Special Numbers and Polynomials

Grzegorz Rządkowski
Department of Finance and Risk Management
Warsaw University of Technology
Ludwika Narbutta 85
00-999 Warsaw


The purpose of this article is to present, in a simple way, an analytical approach to special numbers and polynomials. The approach is based on derivative polynomials. The paper is, to some extent, a review article, although it contains some new elements. In particular, it seems that some integral representations for Bernoulli numbers and Bernoulli polynomials are new.

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(Concerned with sequences A008292 and A060187.)

Received June 16 2015; revised versions received July 16 2015; July 19 2015. Published in Journal of Integer Sequences, July 29 2015.

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