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20102023
most citedThe radius of convexity of normalized Bessel functions of the first kind

73 citations

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6 papers · 1 filter

math.CA2016★ 7 cited

Products of Bessel and modified Bessel functions

Árpád Baricz, Róbert Szász, Nihat Yağmur

The reality of the zeros of the product and cross-product of Bessel and modified Bessel functions of the first kind is studied. As a consequence the reality of the zeros of two hyp…

math.CA2015★ 20 cited

The radius of convexity of normalized Bessel functions

Árpád Baricz, Róbert Szász

The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between and Our methods include the minimum pri…

math.CA2014★ 18 cited

On an identity for zeros of Bessel functions

Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány +1

In this paper our aim is to present an elementary proof of an identity of Calogero concerning the zeros of Bessel functions of the first kind. Moreover, by using our elementary app…

math.CA2014★ 25 cited

Close-to-convexity of some special functions and their derivatives

Árpád Baricz, Róbert Szász

In this paper our aim is to deduce some sufficient (and necessary) conditions for the close-to-convexity of some special functions and their derivatives, like Bessel functions, Str…

math.CA2014★ 7 cited

Monotonicity properties of some Dini functions

Árpád Baricz, Tibor K. Pogány, Róbert Szász

In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expa…

math.CA2013★ 73 cited

The radius of convexity of normalized Bessel functions of the first kind

Árpád Baricz, Róbert Szász

In this paper we determine the radius of convexity for three kind of normalized Bessel functions of the first kind. In the mentioned cases the normalized Bessel functions are starl…