In the paper, with the aid of the Čebyšev integral inequality, by virtue of the integral
representation of the Riemann zeta function, with the use of two properties of a function and …

In the paper, the authors simply review recent results of inequalities, monotonicity, signs of
determinants, determinantal formulas, closed-form expressions, and identities of the …

The aim of this paper is to introduce and investigate some new identities and formulas
involving many kinds of special numbers and polynomials with help of the some known …

The aim of this paper is to obtain some interesting infinite series representations for the
Apostol-type parametrically generalized polynomials with the aid of the Laplace transform …

The purpose of this paper is to give formulas and Recurrence relations for the Apostol-Euler
numbers and polynomials of order with complex numbers with the aid of the Euler operator …

By applying Laplace differential operator to harmonic conjugate components of the analytic
functions and using Wirtinger derivatives, some identities and relations including Bernoulli …

The main objective in this paper is to study on special numbers and polynomials that contain
finite sums of powers of binomial coefficients. By using generating function methods, some …

The purpose of this chapter is to survey and make a compilation that covers many families of
the special numbers and polynomials including the Apostol-Bernoulli numbers and …

The main purpose of this paper is to derive some new identities and finite sums involving
some trigonometric functions, Apostol-type numbers, the Stirling numbers, and two variable …

The aim of this paper is to apply trigonometric functions with functional equations of
generating functions. Using the resulted new equations and formulas from this application …