Mapping properties for conic regions associated with wright functions

In this paper, we are mainly interested to find sufficient conditions for the convolution operator Y(lambda,mu)f(z) = zW(lambda,mu)(z) * f(z) belonging to the classes UCV (k, alpha), S-p (k, alpha), S*(sigma) and C-sigma

Some geometric properties of certain families of q-bessel functions

In this paper, we are mainly interested in finding sufficient conditions for the q-close-to-convexity of certain families of q-Bessel functions with re-spect to certain functions in the open unit disk. The strong convexity and strong starlikeness of the same functions are also the part of our investigation

Certain Geometric Properties of Lommel and Hyper-Bessel Functions

In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation

Convexity of Integral Operators Involving Dini Functions

In this article, we are mainly interested to find some covexity properties for certain families of integral operators involving Dini functions in the open unit disc. The main tool in the proofs of our results are some functional inequalities of Dini functions. Some particular cases involving Dini functions are also a part of our investigations

Certain Geometric Properties of Normalized Wright Functions

In this article, we find some geometric properties like starlikeness, convexity of order α, close-to-convexity of order 1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the classes Tγα and Lγα are the part of our investigations. We also obtain the conditions on normalized Wright function to belong to the Hardy space Hp

Certain Geometric Properties of Generalized Dini Functions

We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order α, convexity of order α, and close-to-convexity of order ((1+α)/2) for normalized Dini function. We also study close-to-convexity with respect to certain star-like functions. Further, we obtain conditions on generalized Dini function to belong to the Hardy space Hp

Convexity, Starlikeness, and Prestarlikeness of Wright Functions

This article deals with the normalized Wright function and its geometric properties. In particular, we find sufficiency criteria for close-to-convexity with respect to starlike function ς1−ς2. We also find conditions such that the normalized Wright function is starlike. The convexity along the imaginary axis and starlikeness of a certain order is also a part of our discussion. Moreover, we study the bounded turning of the partial sums and prestarlikeness of this function. We use positivity techniques to obtain these results

On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions

In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The main tools for our discussions were the Kudriasov conditions for the univalency of functions, as well as functional inequalities for the generalized Bessel functions. We included the conditions for the univalency of integral operators that involve Bessel, modified Bessel and spherical Bessel functions as special cases. Furthermore, we provided sufficient conditions for the integral operators that involve trigonometric, as well as hyperbolic, functions as an application of our results

On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions

In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The main tools for our discussions were the Kudriasov conditions for the univalency of functions, as well as functional inequalities for the generalized Bessel functions. We included the conditions for the univalency of integral operators that involve Bessel, modified Bessel and spherical Bessel functions as special cases. Furthermore, we provided sufficient conditions for the integral operators that involve trigonometric, as well as hyperbolic, functions as an application of our results