Some Symmetric Identities involving a Sequence of Polynomials

Some Symmetric Identities involving a Sequence of Polynomials

In this paper we establish some symmetric identities on a sequence of polynomials in an elementary way, and some known identities involving Bernoulli and Euler numbers and polynomials are obtained as particular cases.

SOME NEW SYMMETRIC IDENTITIES INVOLVING q-GENOCCHI POLYNOMIALS UNDER S4

In the paper, we derive some new symmetric identities of q-Genocchi polynomials arising from the fermionic p-adic q-integral on Zp.

Some identities involving generalized Gegenbauer polynomials

Some Identities Relating to Eulerian Polynomials and Involving Stirling Numbers

In the paper, the authors establish two identities, which can be regarded as nonlinear differential equations, for the generating function of Eulerian polynomials, find two identities for the Stirling numbers of the second kind, and present two identities for Eulerian polynomials and higher order Eulerian polynomials, pose two open problems about summability of two finite sums involving the Sti...

Symmetric Identities for Euler Polynomials

In this paper we establish two symmetric identities on sums of products of Euler polynomials.