On the -Genocchi Numbers and Polynomials with Weight and Weak Weight

On the q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β

The Genocchi numbers and polynomials possess many interesting properties and are arising in many areas of mathematics and physics. Recently, many mathematicians have studied in the area of the q-Genocchi numbers and polynomials see 1–13 . In this paper, we construct a new type of q-Genocchi numbers G α,β n,q and polynomials G α,β n,q x with weight α and weak weight β. Throughout this paper, we ...

On the Twisted q-Genocchi Numbers and Polynomials with Weak Weight α

In this paper we construct a new type of twisted q-Genocchi numbers and polynomials with weak weight α. We investigate some properties which are related to twisted q-Genocchi numbers G (α) n,q,w and polynomials G (α) n,q,w (x) with weak weight α. Keywords: Genocchi numbers and polynomials, twisted q-Genocchi numbers and polynomials, twisted q-Genocchi numbers and polynomials with weak weight α

A Note on the q-Genocchi Numbers and Polynomials with Weak Weight α

In this paper we construct a new type of q-Genocchi numbers and polynomials with weak weight α: G (α) n,q , G (α) n,q (x) respectively. Some interesting results and relationships are obtained.

Generating Functions of the Generalized q-Genocchi Numbers and Polynomials with Weak Weight α

Some Properties of Multiple Generalized q-Genocchi Polynomials with Weight α and Weak Weight β

The present paper deals with the various q-Genocchi numbers and polynomials. We define a new type ofmultiple generalized q-Genocchi numbers and polynomials withweight α andweakweight β by applying the method of p-adic q-integral. We will find a link between their numbers and polynomials with weight α and weak weight β. Also we will obtain the interesting properties of their numbers and polynomi...