Results 31 to 40 of about 17,307,930 (337)

A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials

open access: yesSymmetry, 2023
In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials.
T. Al-Hawary   +3 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
Singh, Sunder, Singh, Ram
openaire   +1 more source

Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

open access: yesMathematics, 2023
In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a2 and a3 and ...
Abdulmtalb Hussen, Mohamed Illafe
semanticscholar   +1 more source

Subclass of bi-univalent function associated to Chebyshev polynomial [PDF]

open access: yes, 2022
The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.Comment: 7 ...
Birajdar, G. M., Sangle, N. D.
core   +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

Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator

open access: yesFractal and Fractional, 2023
This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil, J. Gong, T. G. Shaba
semanticscholar   +1 more source

Distortion of boundary sets under inner functions and applications [PDF]

open access: yes, 1992
10 pages, no figures.-- MSC2000 codes: 30C85, 30D50.MR#: MR1183352 (93k:30014)Zbl#: Zbl 0765.30011An inner function is a bounded holomorphic function from the unit disc $\Delta$ of the complex plane such that the radial boundary values have modulus 1 a.e.
Pestana, Domingo, Fernández, José L.
core   +1 more source

An Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Function

open access: yesSymmetry, 2019
In the current article, we consider certain subfamilies S e ∗ and C e of univalent functions associated with exponential functions which are symmetric along real axis in the region of open unit disk.
Lei Shi   +4 more
semanticscholar   +1 more source

Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients

open access: yesMathematics, 2023
In this article we introduce three new subclasses of the class of bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using the subordinations with the functions whose coefficients are Gregory numbers. First, we evidence that these classes are not
G. Murugusundaramoorthy   +2 more
semanticscholar   +1 more source

The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions. [PDF]

open access: yes, 2003
Several special classes of univalent functions f in the unit disk U are characterized by the quantity zf'(z)/ f (z) lies in a given region in the right-half plane.
M. Ali, Rosihan
core   +1 more source

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