Geometric and monotonic properties of hyper-Bessel functions

İ Aktaş, Á Baricz, S Singh - The Ramanujan Journal, 2020 - Springer
Some geometric properties of a normalized hyper-Bessel functions are investigated.
Especially we focus on the radii of starlikeness, convexity, and uniform convexity of hyper …

Generalized Lommel–Wright function and its geometric properties

HM Zayed, K Mehrez - Journal of Inequalities and Applications, 2022 - Springer
The normalization of the combination of generalized Lommel–Wright function J κ 1, κ 2 κ 3,
m (z)(m∈ N, κ 3> 0 and κ 1, κ 2∈ C) defined by J κ 1, κ 2 κ 3, m (z):= Γ m (κ 1+ 1) Γ (κ 1+ κ …

Bounds for radii of convexity of some q-Bessel functions

I Aktas, H Orhan - Bulletin of the Korean Mathematical Society, 2020 - koreascience.kr
In the present investigation, by applying two different normalizations of the Jackson's second
and third q-Bessel functions tight lower and upper bounds for the radii of convexity of the …

Close-to-Convexity of q-Bessel–Wright Functions

MU Din, M Raza, Q Xin, S Yalçin, SN Malik - Mathematics, 2022 - mdpi.com
Mathematics | Free Full-Text | Close-to-Convexity of q-Bessel–Wright Functions Next
Article in Journal Exploring Simulated Residential Spending Dynamics in Relation to Income …

Starlikeness of New General Differential Operators Associated with q-Bessel Functions

L Andrei, VA Caus - Symmetry, 2021 - mdpi.com
Owning to the importance and great interest of differential operators, two generalized
differential operators, which may be symmetric or assymetric, are newly introduced in the …

Radius of k-Parabolic Starlikeness for Some Entire Functions

SR Mondal - Symmetry, 2022 - mdpi.com
This article considers three types of analytic functions based on their infinite product
representation. The radius of the k-parabolic starlikeness of the functions of these classes is …

Radii of starlikeness and convexity of some entire functions

V Madaan, A Kumar, V Ravichandran - Bulletin of the Malaysian …, 2020 - Springer
A normalized analytic function f is lemniscate starlike if the quantity zf'(z)/f (z) zf′(z)/f (z) lies
in the region bounded by the right half of the lemniscate of Bernoulli| w^ 2-1|= 1| w 2-1|= 1. It …

Radii of uniform convexity of some special functions

İ Aktaş, E Toklu, H Orhan - Turkish Journal of Mathematics, 2018 - journals.tubitak.gov.tr
In this investigation our main aim is to determine the radii of uniform convexity of selected
normalized $ q $-Bessel and Wright functions. Here we consider six different normalized …

[PDF][PDF] Radii problems for normalized q− Bessel and Wright functions

E Toklu, İ Aktaş, H Orhan - Acta Universitatis Sapientiae, Mathematica, 2019 - sciendo.com
In this investigation, our main objective is to ascertain the radii of k-uniform convexity of
order α and the radii of strong starlikeness of the some normalized q-Bessel and Wright …

Geometric characterization of the generalized Lommel–Wright function in the open unit disc

HM Zayed, T Bulboacă - Journal of Inequalities and Applications, 2024 - Springer
The present investigation aims to examine the geometric properties of the normalized form
of the combination of generalized Lommel–Wright function J λ, μ ν, m (z):= Γ m (λ+ 1) Γ (λ+ …