Integral modification of Apostol-Genocchi operators

q-Extensions for the Apostol-Genocchi Polynomials

In this paper, we define the Apostol-Genocchi polynomials and qApostol-Genocchi polynomials. We give the generating function and some basic properties of q-Apostol-Genocchi polynomials. Several interesting relationships are also obtained. 2000 Mathematics Subject Classification: Primary 05A30; Secondary 11B83, 11M35, 33E20.

Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

We find Fourier expansions of Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. We give a very simple proof of them.

Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials

The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér 2004 and R...

Integral Formulae of Bernoulli and Genocchi Polynomials

A new generalization of Apostol type Hermite–Genocchi polynomials and its applications

By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation for aforementioned polynomial and derive some implicit summation formulae and general symmetric identities arising from different analytical means and generating functions ...