The main purpose of this article is to derive several convolutions for generalized Bernoulli and Euler–Genocchi polynomials order (r,m), Bn(r,m)(x) An(r,m)(x), respectively. These have been introduced recently contain the Bernoulli, Euler Genocchi as special members. Some our results extend M. Merca others concerning numbers polynomials. Probabilistic interpretations presented are also given.

We introduce the generalized degenerate Euler–Genocchi polynomials as a version of polynomials. In addition, we their higher-order version, namely order α, α. The aim this paper is to study certain properties and identities involving those polynomials, falling factorials, Euler Stirling numbers second kind, ‘alternating power sum integers’.

The main purpose of this paper is to derive various Matiyasevich-Miki-Gessel type convolution identities for Bernoulli and Genocchi polynomials and numbers by applying some Euler type identities with two parameters.

Kim et al. 2012 introduced an interesting p-adic analogue of the Eulerian polynomials. They studied some identities on the Eulerian polynomials in connection with the Genocchi, Euler, and tangent numbers. In this paper, by applying the symmetry of the fermionic p-adic q-integral on Zp, defined by Kim 2008 , we show a symmetric relation between the q-extension of the alternating sum of integer p...

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.

The main purpose of this paper is to consider q-sine-based and q-cosine-Based q-Fubini polynomials investigate diverse properties these polynomials. Furthermore, multifarious correlations including q-analogues the Genocchi, Euler Bernoulli polynomials, q-Stirling numbers second kind are derived. Moreover, some approximate zeros q-sinebased in a complex plane examined, lastly, shown using figures.

In this paper, we consider the higher order degenerate Changhee–Genocchi polynomials of second kind by using generating functions and Riordan matrix methods. At same time, give some properties kind. addition, establish new equalities involving kind, generalized Bell polynomials, Changhee Daehee Lah numbers Stirling numbers, etc.

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 ...