In this work, the generalized Bessel functions with their normalization are considered.
Various conditions are obtained so that these Bessel functions have certain geometric …

In this paper, some geometric properties of normalized Mittag-Leffler functions are
investigated. We focus on starlikeness of order 2 μ+ η− 1 2μ+η-1 and convexity in the …

n= 0 zn Γ (αn+ β), α, β∈ C, Re (α)> 0, Re (β)> 0, z∈ C.(2) For different values of parameters,
the conditions of convergence vary. When α and β are positive and real, the above given …

Given a starlike function g ∈\mathcal S^*, g∈ S∗, an analytic standardly normalized
function ff in the unit disk DD is called close-to-convex with respect to gg if there exists δ ∈ …

In this work, sufficient conditions on the sequence {a_n\} an are obtained to guarantee the
starlikeness, close-to-convexity and convex in the direction of imaginary axis of the analytic …

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 ς …

The notion of Ces\aro stable function is generalized by introducing Ces\aro mean of type $(b-
1; c) $ which give rise to a new concept of generalized Ces\aro stable function. As an …

Using positivity of trigonometric cosine and sine sums whose coefficients are generalization
of Vietoris numbers, we find the conditions on coefficient {ak} to characterize the geometric …

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 …

This article constructs trigonometric polynomials of the sine and cosine whose sums are
nonnegative. As an application, those nonnegative trigonometric sums are used to study the …