Generalized Bessel Functions of the First Kind

By 'Arp'ad Baricz. 2010

287 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/88ad111728a5820a2f49c0be1e545d9242f53e15

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In Algebra and Number Theory

In Applied Mathematics

In Geometry and Topology

Citations in the corpus

On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind (2015, background): “Details related to the function Hp,b,c(z) and its particular cases can be seen in [1]-[4] and the references therein.”
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.”
Third-Order Differential Superordination Involving the Generalized Bessel Functions (2015, methodology): “We next consider the following second-order homogeneous linear differential equation (see, for details, [9]) z2ω′′(z) + bzω′(z) + [cz(2) − p(2) + (1− b)p]ω(z) = 0 (b, c, p ∈ C).”
Bounds for modified Bessel functions of the first and second kinds (2010, background): “It is also worthwhile noting that András and Baricz [6] recently deduced a similar result for the complex argument in the open unit disc.”
The radius of starlikeness of normalized Bessel functions of the first kind (2012, background): “Finally, let us mention that other geometric properties of the functions gν and hν were obtained in [2, 4, 5, 17, 18].”
Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series (2016, methodology): “Motivated by results on connections between various subclasses of analytic univalent functions by using generalized Bessel functions [1, 2, 3, 8, 11, 13, 15, 22], hypergeometric functions by Srivastava et al.”
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.”