Results 1 to 10 of about 27 (27)

Two applications of Grunsky coefficients in the theory of univalent functions

open access: yesActa Universitatis Sapientiae: Mathematica, 2023
Let S denote the class of functions f which are analytic and univalent in the unit disk 𝔻 = {z : |z| < 1} and normalized with f(z)=z+∑n=2∞αnzn{\rm{f}}\left( {\rm{z}} \right) = {\rm{z}} + \sum\nolimits_{{\rm{n = 2}}}^\infty {{\alpha _{\rm{n}}}{{\rm{z}}^{\
Obradović Milutin, Tuneski Nikola
doaj   +1 more source

Conformable differential operators for meromorphically multivalent functions

open access: yesConcrete Operators, 2021
We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property.
Ibrahim Rabha W.   +2 more
doaj   +1 more source

Extreme points and support points of conformal mappings

open access: yesOpen Mathematics, 2019
There are three types of results in this paper. The first, extending a representation theorem on a conformal mapping that omits two values of equal modulus. This was due to Brickman and Wilken.
Peretz Ronen
doaj   +1 more source

Some results concerning the Tremblay operator and some of its applications to certain analytic functions

open access: yesActa Universitatis Sapientiae: Mathematica, 2019
The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine several results constituted by the related operator for certain analytic functions and also to point ...
Irmak Hüseyin, Engel Olga
doaj   +1 more source

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj   +1 more source

The Relationships Between p−valent Functions and Univalent Functions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, we obtain some sufficient conditions for general p−valent integral operators to be the p−th power of a univalent functions in the open unit disk.
Çağlar Murat
doaj   +1 more source

Coefficient estimates and Fekete-Szegö problem for some classes of univalent functions generalized to a complex order

open access: yesDemonstratio Mathematica
In this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order.
Aron Mihai
doaj   +1 more source

Analytic solutions of a generalized complex multi-dimensional system with fractional order

open access: yesDemonstratio Mathematica
The Duhamel principle is a mathematical principle that allows us to solve linear partial differential equations. This system is generalized by the concept of the kk-symbol fractional calculus.
Baleanu Dumitru, Ibrahim Rabha W.
doaj   +1 more source

An equation for complex fractional diffusion created by the Struve function with a T-symmetric univalent solution

open access: yesDemonstratio Mathematica
A TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
doaj   +1 more source

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