Results 21 to 30 of about 10,555,595 (364)

Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function

open access: yesAIMS Mathematics, 2021
In this paper, we examine a connotation between certain subclasses of harmonic univalent functions by applying certain convolution operator regarding Mittag-Leffler function.
Murugusundaramoorthy Gangadharan   +4 more
doaj   +1 more source

Applications of Neutrosophic q-Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions

open access: yesMathematics, 2023
By using the generalization of the neutrosophic q-Poisson distribution series, we introduce a new subclass of analytic and bi-univalent functions defined in the open unit disk.
A. Alsoboh   +3 more
semanticscholar   +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

Estimates for the Coefficients of Subclasses Defined by the Bell Distribution of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials

open access: yesMathematics, 2023
In the real world there are many applications that find the Bell distribution to be a useful and relevant model. One of these is the normal distribution.
A. Amourah   +4 more
semanticscholar   +1 more source

Initial coefficient bounds for certain new subclasses of bi-univalent functions with bounded boundary rotation

open access: yesAIMS Mathematics, 2023
In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds.
Prathviraj Sharma   +2 more
semanticscholar   +1 more source

Applications of Gegenbauer Polynomials for Subfamilies of Bi-Univalent Functions Involving a Borel Distribution-Type Mittag-Leffler Function

open access: yesSymmetry, 2023
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler functions is introduced using Hadamard products or convolutions.
Abdullah Alatawi   +2 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

Bi-Bazilevič functions of order ϑ+iδ associated with (p,q)− Lucas polynomials

open access: yesAIMS Mathematics, 2021
By means of(p,q)− Lucas polynomials, a class of Bazilevič functions of order ϑ+iδ in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging
Ala Amourah   +3 more
doaj   +1 more source

On Becker's univalence criterion [PDF]

open access: yes, 2017
We study locally univalent functions $f$ analytic in the unit disc $\mathbb{D}$ of the complex plane such that $|{f"(z)/f'(z)}|(1-|z|^2)\leq 1+C(1-|z|)$ holds for all $z\in\mathbb{D}$, for some ...
Huusko, Juha-Matti, Vesikko, Toni
core   +2 more sources

Exploiting the Pascal Distribution Series and Gegenbauer Polynomials to Construct and Study a New Subclass of Analytic Bi-Univalent Functions

open access: yesSymmetry, 2022
In the present analysis, we aim to construct a new subclass of analytic bi-univalent functions defined on symmetric domain by means of the Pascal distribution series and Gegenbauer polynomials.
A. Amourah   +3 more
semanticscholar   +1 more source

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