In the vast literature in Analytic Number Theory, one can find systematic and extensive
investigations not only of the classical Bernoulli, Euler and Genocchi polynomials and their …

The first aim of this paper is to construct new generating functions for the generalized λ-
Stirling type numbers of the second kind, generalized array type polynomials and …

The goal of this paper is to unify and extend the generating functions of the generalized
Bernoulli polynomials, the generalized Euler polynomials and the generalized Genocchi …

The main purpose of this paper is to construct new families of special numbers with their
generating functions. These numbers are related to many well-known numbers, which are …

A Note on q-Changhee Polynomials and Numbers Page 1 Adv. Studies Theor. Phys., Vol. 8,
2014, no. 1, 35 - 41 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/astp.2014.312142 …

In this paper, we construct trigonometric functions in the form of a sum T p (h, k) which is
referred to as a Dedekind-type DC-(Dahee and Changhee) sum. We establish analytic …

In this paper, by applying the $ p $-adic $ q $-integrals to a family of continuous
differentiable functions on the ring of $ p $-adic integers, we construct new generating …

The aim of this paper is to introduce and investigate several new identities related to a
unification and generalization of the three families of generalized Apostol type polynomials …

For s∈ ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζ E
(s)= 2∑ n= 1∞((− 1) n/ns), and ζ E (s, x)= 2∑ n= 0∞((− 1) n/(n+ x) s). Thus, we note that the …

The aim of this article is to define some new families of the special numbers. These numbers
provide some further motivation for computation of combinatorial sums involving binomial …