Results 51 to 60 of about 10,555,595 (364)

New Subclasses of Bi-Univalent Functions with Respect to the Symmetric Points Defined by Bernoulli Polynomials

open access: yesAxioms, 2022
In this paper, we introduce and investigate new subclasses of bi-univalent functions with respect to the symmetric points in U=z∈C ...
M. Buyankara   +2 more
semanticscholar   +1 more source

Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator

open access: yesMathematics, 2020
Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z
Ibtisam Aldawish   +2 more
doaj   +1 more source

Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators

open access: yesSymmetry, 2022
In this paper, we define and discuss properties of various classes of analytic univalent functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to introduce the q-analogue of the Salagean differential operator.
E. Amini   +3 more
semanticscholar   +1 more source

Boundary distortion estimates for holomorphic maps

open access: yes, 2013
We establish some estimates of the the angular derivatives from below for holomorphic self-maps of the unit disk at one and two fixed points of the unit circle provided there is no fixed point inside the unit disk. The results complement Cowen-Pommerenke
Frolova, A.   +3 more
core   +1 more source

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

open access: yesMathematics, 2022
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
S. R. Swamy, B. Frasin, I. Aldawish
semanticscholar   +1 more source

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi   +2 more
doaj   +1 more source

Schwarzian Derivatives and Uniform Local Univalence

open access: yes, 2007
Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic
Chuaqui, Martin   +2 more
core   +2 more sources

A Class of Bi-Univalent Functions in a Leaf-Like Domain Defined through Subordination via q̧-Calculus

open access: yesMathematics
Bi-univalent functions associated with the leaf-like domain within open unit disks are investigated, and a new subclass is introduced and studied in the research presented here.
A. Alsoboh, G. Oros
semanticscholar   +1 more source

Fekete-Szegö Inequalities for a New Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials

open access: yesSymmetry, 2022
We introduce and investigate in this paper a new subclass of bi-univalent functions associated with the Gegenbauer polynomials which satisfy subordination conditions defined in a symmetric domain, which is the open unit disc.
M. Çağlar   +2 more
semanticscholar   +1 more source

Subordination by Univalent Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
Let K K be the class of functions f ( z ) = z + a 2 z 2 + ⋯ f(z) = z + {a_2}{z^2} + \cdots , which are regular and univalently convex in
Singh, Sunder, Singh, Ram
openaire   +1 more source

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