Results 21 to 30 of about 383 (40)
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 ...
Aghalary, R., Ebadian, A.
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, 2009 We introduce canonical antisymmetric quasiconformal maps, which minimize the quasiconformality constant among maps sending the unit circle to a given quasicircle.
Smirnov, Stanislav
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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
A study of analytic functions along with Poisson distribution
Applied Mathematics in Science and EngineeringIn this paper, we introduce some new families of analytic functions by using Hadamard product while keeping conic like domains in view. Like the area theorem, we determine sufficient conditions as well as characterizations of these functions. Furthermore,
Muhammad Ashfaq +3 more
doaj +1 more source
Bounds for the Second Hankel Determinant of Certain Univalent Functions
, 2013 The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See +2 more
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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
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
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
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, 2018 In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are
Gochhayat, P. +2 more
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Two hyperbolic Schwarz lemmas [PDF]
, 2002 In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings on the unit disk with fixed multiplicity for the zero at the origin, hence extending a recent result due to Beardon.
Bernal González, Luis +1 more
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