Results 1 to 10 of about 7,251 (222)

Sharp coefficient bounds for a class of symmetric starlike functions involving the balloon shape domain [PDF]

Heliyon
Recent research has extensively explored classes of starlike and convex functions across various domains. This study introduces a novel class of symmetric starlike functions with respect to symmetric points and associated with the balloon shape domain ...
Bilal Khan, Jianhua Gong, Muhammad Ghaffar Khan, Fairouz Tchier   +3 more
doaj   +2 more sources

Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]

PLoS ONE
The article reveals new applications of the four-parameter Mittag-Leffler function (MLF) in geometric function theory (GFT), using fractional calculus notions.
Ahmad A Abubaker, Khaled Matarneh, Suha B Al-Shaikh, Mohammad Faisal Khan   +3 more
doaj   +2 more sources

Further Geometric Properties of the Barnes–Mittag-Leffler Function

Axioms, 2023
In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
doaj   +1 more source

Uniformly starlike functions and uniformly convex functions related to the Pascal distribution [PDF]

Mathematica Bohemica, 2021
In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk ...
Gangadharan Murugusundaramoorthy, Sibel Yalçın   +1 more
doaj   +1 more source

On norm estimation for certain subclasses of analytic functions in geometric functions theory [PDF]

Journal of Mahani Mathematical Research, 2023
We investigate on some subclasses of analytic fuctions defined by subordination. Also, we give estimates of $\sup_{|z|
Hormoz Rahmatan
doaj   +1 more source

Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function

Journal of Function Spaces, 2021
The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D=z∈ℂ ...
Khalil Ullah, Saira Zainab, Muhammad Arif, Maslina Darus, Meshal Shutaywi   +4 more
doaj   +1 more source

Convexity, Starlikeness, and Prestarlikeness of Wright Functions

Mathematics, 2022
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.
Dong Liu, Muhey U Din, Mohsan Raza, Sarfraz Nawaz Malik, Huo Tang   +4 more
doaj   +1 more source

Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin

Mathematics, 2022
In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function.
Daniel Breaz, Kadhavoor R. Karthikeyan, Elangho Umadevi   +2 more
doaj   +1 more source

Starlikness Associated with Cosine Hyperbolic Function

Mathematics, 2020
The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family ...
Abdullah Alotaibi, Muhammad Arif, Mohammed A. Alghamdi, Shehzad Hussain   +3 more
doaj   +1 more source

The sharp bound of the third Hankel determinants for inverse of starlike functions with respect to symmetric points

Математичні Студії, 2022
We study the sharp bound for the third Hankel determinant for the inverse function $f$, when it belongs to of the class of starlike functions with respect to symmetric points.
B. Rath, D. V. Krishna, K. S. Kumar, G. K. S. Viswanadh   +3 more
doaj   +1 more source