Title of article :
Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
Author/Authors :
Liu، نويسنده , , Hongmei and Wang، نويسنده , , Weiping، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
In this paper, by the generating function method, we establish various identities concerning the (higher order) Bernoulli polynomials, the (higher order) Euler polynomials, the Genocchi polynomials and the degenerate higher order Bernoulli polynomials. Particularly, some of these identities are also related to the power sums and alternate power sums. It can be found that, many well known results, especially the multiplication theorems, and some symmetric identities demonstrated recently, are special cases of our results.
Keywords :
Bernoulli polynomials , Genocchi polynomials , Euler polynomials , Power sums , Alternate power sums , Combinatorial identities
Journal title :
Discrete Mathematics
Journal title :
Discrete Mathematics