Motivated by a number of recent investigations, we define and investigate the various properties of a new family of the Eulerian polynomials. We derive useful results involving these Eulerian polynomials including (for ...

We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation ...

In the present paper, we introduce the Eulerian polynomials attached to χ using p-adic q-integral on Zp. Also, we give some new interesting identities via the generating functions of Dirichlet’s type of Eulerian polynomials. ...