Algorithms for Bernoulli and related polynomials
Journal of integer sequences, Tome 10 (2007) no. 5
We investigate some algorithms that produce Bernoulli, Euler and Genocchi polynomials. We also give closed formulas for Bernoulli, Euler and Genocchi polynomials in terms of weighted Stirling numbers of the second kind, which are extensions of known formulas for Bernoulli, Euler and Genocchi numbers involving Stirling numbers of the second kind.
Classification :
11B68
Keywords: Bernoulli polynomials, Euler polynomials, Genocchi polynomials, weighted Stirling numbers of the second kind, Euler-seidel matrices, akiyama-tanigawa algorithm
Keywords: Bernoulli polynomials, Euler polynomials, Genocchi polynomials, weighted Stirling numbers of the second kind, Euler-seidel matrices, akiyama-tanigawa algorithm
@article{JIS_2007__10_5_a1,
author = {Dil, Ayhan and Kurt, Veli and Cenkci, Mehmet},
title = {Algorithms for {Bernoulli} and related polynomials},
journal = {Journal of integer sequences},
year = {2007},
volume = {10},
number = {5},
zbl = {1140.11308},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a1/}
}
Dil, Ayhan; Kurt, Veli; Cenkci, Mehmet. Algorithms for Bernoulli and related polynomials. Journal of integer sequences, Tome 10 (2007) no. 5. http://geodesic.mathdoc.fr/item/JIS_2007__10_5_a1/