Journal of Integer Sequences, Vol. 10 (2007), Article 07.5.4

Algorithms for Bernoulli and Related Polynomials


Ayhan Dil, Veli Kurt and Mehmet Cenkci
Department of Mathematics
Akdeniz University
Antalya, 07058
Turkey

Abstract:

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.


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(Concerned with sequences A000110 A000182 A000364 A001898 A027641 A027642 and A100616.)

Received September 18 2006; revised version received May 10 2007. Published in Journal of Integer Sequences, May 10 2007.


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