Hankel determinant for certain new classes of analytic functions associated the activation functions [PDF]
Heliyon, 2023 In this article, we introduce two new classes of analytic functions Jtanh and JSG which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions.
YueJuan Sun +4 more
doaj +2 more sources
Coefficient Bounds for Some Families of Starlike and Convex Functions of Reciprocal Order [PDF]
The Scientific World Journal, 2014 The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.
Muhammad Arif +3 more
doaj +2 more sources
Sharp coefficient bounds for a class of symmetric starlike functions involving the balloon shape domain [PDF]
HeliyonRecent 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 +3 more
doaj +2 more sources
The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function [PDF]
Heliyon, 2023 Mohsan Raza +2 more
exaly +2 more sources
Starlike and convex functions of complex order involving generalized multiplier transformations [PDF]
Mathematica Bohemica, 2021 We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.
Adela Osman Mostafa +2 more
doaj +1 more source
First-Order Differential Subordinations and Their Applications
Axioms, 2023 In this paper, we consider some relations related to the representations of starlike and convex functions, and obtain some sufficient conditions for starlike and convex functions by using the theory of differential subordination.
Ali Ebadian +4 more
doaj +1 more source
A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]
Opuscula Mathematica, 2013 In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah +3 more
doaj +1 more source
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
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 +4 more
doaj +1 more source
Bohr Radius Problems for Some Classes of Analytic Functions Using Quantum Calculus Approach
Mathematics, 2020 The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q-starlike (q-convex) functions of order α . The Bohr radius is also determined for a generalized class of q-Janowski starlike and
Om Ahuja, Swati Anand, Naveen Kumar Jain
doaj +1 more source