Results 31 to 40 of about 96 (94)

Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator

open access: yesJournal 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

Sufficient condition for Strongly Starlike and Convex Functions [PDF]

open access: yes, 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  

Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers

open access: yesJournal 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

Schwarzian derivative and Janowski convexity

open access: yes, 2017
Sufficient conditions relating the Schwarzian derivative to the Janowski convexity of a normalized analytic function f are obtained. As a consequence, sufficient conditions are determined for the function f to be Janowski convex and convex of order α ...
BOHRA, Nisha, RAVICHANDRAN, V.
core   +1 more source

Certain sufficient conditions for starlikeness and convexity using a multiplier transformation

open access: yes, 2018
In the present paper, we study a differential subordination involving a multiplier transformation. Selecting different dominants to our main result, we obtain certain sufficient conditions for starlikeness and convexity of analytic functions.
BILLING, Sukhwinder Singh, BRAR, Richa
core   +1 more source

Professor GABRIELA KOHR – A life for research. In memoriam

open access: yes, 2022
We review the main contributions of Professor Gabriela Kohr in her studies in the Geometric function theory in several complex variables and complex Banach spaces with special emphasis on the theory of Loewner chains and the Loewner differential equation.
SĂLĂGEAN, Grigore Ștefan   +1 more
core  

Coefficient bounds for q-convex functions related to q-Bernoulli numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The 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

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The 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

Certain class of m-fold functions by applying Faber polynomial expansions

open access: yes, 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
core   +1 more source

Coefficient estimates and subordination properties for certain classes of analytic functions of reciprocal order

open access: yes, 2018
In this work, we determine the coefficient bounds and subordination results for functions in certain subclasses of analytic functions of reciprocal order, which are introduced here by means of a Hadamard product of analytic functions.
FRASIN, Basem Aref, Al-HAWARY, Tariq
core   +1 more source

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