Geometric properties of generalized Bessel functions

By 'Arp'ad Baricz. Publicationes mathematicae (Debrecen), 2008

213 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/cfb1ab90027981f99cb7eff339fbb14b14c262f7

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Starlikeness and Convexity of Generalized Struve Functions (2013, background): “More information about geometric properties of special functions can be found in [1–9].”
Close-to-Convexity of Some Special Functions and Their Derivatives (2014, background): “Some of these problems have been studied later in the papers [1, 2, 3, 5, 6, 8, 19, 20], however, there are still some open problems in this direction.”
Starlikeness and convexity of generalized Bessel functions (2010, methodology): “We note that recently Baricz [7] proved that if c = 0 and κ ≥ c0 + 3/2, then the function up,b,c is convex in D.”
The radius of starlikeness of normalized Bessel functions of the first kind (2012, background): “Part c complements the results from [2, 5, 17, 18].”
Some Sufficient Conditions for Univalence of Certain Families of Integral Operators Involving Generalized Bessel Functions (2011, methodology): “7), we obtain the familiar Bessel function Jν(z) defined by (see [30]; see also [3])”
Third-Order Differential Superordination Involving the Generalized Bessel Functions (2015, background): “[16] and Deniz [15] (see also [8–11,23] and [30]) considered the function φp,b,c(z) defined, in terms of the generalized Bessel function ωp,b,c(z) in Eq.”
On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind (2015, unknown): “15)] (for recent work, see also [2–6]):”
Geometric Properties of Generalized Bessel Functions (2012, methodology): “Now, we list few results given in [6] for the geometric properties such as univalency, starlikeness, convexity for the function up in D that are useful for further discussion.”
Bounds for radii of starlikeness and convexity of some special functions (2016, background): “In the sixties Brown, Kreyszig and Todd, Wilf (see [14, 15, 16, 19, 23]) considered the univalence and starlikeness of Bessel functions of the first kind, while in the recent years the radii of univalence, starlikeness and convexity for the normalized forms of Bessel, Struve and Lommel functions of ”
The radius of convexity of normalized Bessel functions (2015, unknown): “We refer to [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 15, 16] and to the references therein.”
CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS (2014, methodology): “15)]; for very recent works, see also [1, 2, 3] and [10, p.”