This article is a short elementary review of the exponential polynomials (also called single‐
variable Bell polynomials) from the point of view of analysis. Some new properties are …

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 …

Recently, the authors introduced some generalizations of the Apostol–Bernoulli polynomials
and the Apostol–Euler polynomials (see [Q.-M. Luo, HM Srivastava, J. Math. Anal. Appl. 308 …

A bstract The classification of 4d\(\mathcal {N}= 2\) SCFTs boils down to the classification of
conical special geometries with closed Reeb orbits (CSG). Under mild assumptions, one …

We extend the Genocchi polynomials and investigate their Fourier expansions and integral
representations. We obtain their formulas at rational arguments in terms of Hurwitz zeta …

Cyclotomic polynomials play an important role in several areas of mathematics and their
study has a very long history, which goes back at least to Gauss (1801). In particular, the …

In this article, we show that linear dynamic controllers with integer coefficients are usually
unstable. In fact, asymptotic stability can only be achieved if all controller eigenvalues are …

Number theory is one of the few areas of mathematics where problems of substantial interest
can be fully described to someone with minimal mathematical background. Solving such …

The main object of this paper is to introduce and investigate a new generalization of the
family of Euler polynomials by means of a suitable generating function. We establish several …

A unification (and generalization) of various Apostol type polynomials was introduced and
investigated recently by Luo and Srivastava [Q.-M. Luo, HM Srivastava, Some …