Results 41 to 50 of about 100 (98)
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley +1 more source
Starlikeness and close-to-convexity involving certain differential inequalities [PDF]
In the present paper, we study certain differential inequalities involving meromorphic functions in the open unit disk and obtain certain sufficient conditions for starlikeness and close-to-convexity of meromorphic functions.
BILLING, Sukhwinder Singh +1 more
core +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1 + zf″(z)/f′(z)≺cos(z). We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function.
Umar Raza +3 more
wiley +1 more source
Majorization problem for general family of functions with bounded radius rotations
Arab Journal of Basic and Applied SciencesIn this article, we study the majorization problem for the general class of functions with bounded radius rotation, which the authors introduced here.
Kanwal Jabeen, Afis Saliu, Saqib Hussain
doaj +1 more source
Faber Polynomial Coefficients and Applications in Analytic Function Class
Journal of Mathematics, Volume 2025, Issue 1, 2025.Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed +2 more
wiley +1 more source
Sufficient condition for Strongly Starlike and Convex Functions [PDF]
, 2014 2010 Mathematics Subject Classification: Primary 30C45; Secondary 30C80.In this paper, we obtain sufficient conditions for analytic functions f(z) in the open unit disk ∆ to be strongly starlike and strongly convex of order β and type α. Some interesting
Kargar, Rahim, Aghalary, Rasoul
core
A certain subclass of analytic functions associated with the quasi-subordination [PDF]
, 2017 In the present paper we study quasi-subordination under a multivalent function and we consider a certain subclass of (normalized) analytic functions based on quasi-subordination.
RAHIMPOOR, Hossein, ARJOMANDINIA, Parviz
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Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal +5 more
wiley +1 more source
On close-to-convex functions satisfying a differential inequality [PDF]
, 2015 Let C α (β) denote the class of normalized functions f, analytic in the open unit disk E which satisfy the condition… …We claim that our result improves the result of Chichra, P. N. [1].
BILLING, Sukhwinder Singh
core
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source