Geometric properties of the Jackson and Hahn-Exton q-Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of ...

The present work was developed within the framework of a bibliographical review consisting of books and scientific articles that discuss the history of the so-called Bessel functions, and aimed to follow the path of its ...

We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth ...

We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of ...

In this article we prove dimension free $L^p$?boundedness of Riesz transforms associated with a Bessel differential operator. We obtain explicit estimates of the $L^p$?norms for the Bessel?Riesz transforms in terms of $p$, ...