Results 41 to 50 of about 111 (99)
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
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
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
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
New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points [PDF]
, 2010 2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.We consider some familiar subclasses of functions starlike with respect to symmetric points and obtain sufficient conditions for these classes in terms of their Taylor coefficient ...
Ebadian, A., Aghalary, R.
core
Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators
, 2010 In this paper, we derive some subordination and superordination results associated with the family of Jung-Kim-Srivastava integral operators defined on the space of meromorphic functions. Several sandwich-type results are also obtained.
Zhi-Hong Liu, Yong Sun, Wei-Ping Kuang
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Certain class of m-fold functions by applying Faber polynomial expansions
, 2021 In this paper, we introduce new class Σm(µ, λ, γ, β) of m-fold symmet- ric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients |amk+1|(k >= 2) of functions in the class Σm(µ, λ,
SALEHIAN, Safa, MOTAMEDNEZHAD, Ahmad
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Coefficient bounds for q-convex functions related to q-Bernoulli numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe main objective of this paper is to present and investigate a subclass 𝒞(b, q) of q-convex functions in the unit disk that is defined by the q-Bernoulli numbers.
Breaz Daniel +3 more
doaj +1 more source
New Criteria for Functions in a Class of Meromorphically Strongly Starlike Functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe authors propose to investigate some new criteria for a certain class of meromorphically strongly starlike functions in the punctured open unit disk. Some intriguing applications that arise as special cases of the main results, which are presented in ...
Cho Nak Eun, Kim Inhwa, Srivastava H. M.
doaj +1 more source
Starlikeness and close-to-convexity involving certain differential inequalities
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
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