Geodesic
An analytic approach to special numbers and polynomials
Journal of integer sequences, Tome 18 (2015) no. 8
Zbl   arXiv
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.
Keywords: Eulerian number, Eulerian polynomial, macmahon number, macmahon polynomial, derivative polynomial, Bernoulli number, Bernoulli polynomial, integral representation 
Rządkowski,  Grzegorz. An analytic approach to special numbers and polynomials. Journal of integer sequences, Tome 18 (2015) no. 8. http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a2/
@article{JIS_2015__18_8_a2,
     author = {Rz\k{a}dkowski,  Grzegorz},
     title = {An analytic approach to special numbers and polynomials},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {8},
     zbl = {1332.11028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a2/}
}
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