SearcharxivSearch

arXiv subjects

Nihat Yagmur

Publications and source records attributed to Nihat Yagmur.

3 recordsLinked to original sources

Close-to-convexity of normalized Dini functions

In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag-Leffler expansions for Bessel functions of the first kind.

math.CA

Radii of starlikeness of some special functions

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way that the resulting functions are analytic in the unit disc of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.

math.CA