Results 41 to 50 of about 1,415 (218)

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

On the some subclasses of bi-univalent functions related to the Faber polynomial expansions and the Fibonacci numbers [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2020
In this investigation, by using the Tremblay fractional derivative operator, we introduce a new class of bi-univalent functions based on the rule of subordination.
Şahsene Altınkaya, Sibel Yalçın
doaj  

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

A subclass of pseudo-type meromorphic bi-univalent functions

open access: goldCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
In this paper, In the present article, a new subclass of pseudo-type meromorphic bi-univalent functions is defined on △={z |:z∈C and 1<|z|<∞}, we derive estimates on the initial coefficient |b₀|, |b₁| and |b₂|. Relevant connections of the new results with various well-known results are indicated.
Adnan Ghazy AlAmoush
openalex   +6 more sources

Certain classes of bi-univalent functions associated with the Horadam polynomials

open access: yesActa Universitatis Sapientiae: Mathematica, 2021
In this paper we consider two subclasses of bi-univalent functions defined by the Horadam polynomials. Further, we obtain coefficient estimates for the defined classes.
Orhan Halit   +4 more
doaj   +1 more source

Coefficient Estimates for a Subclass of Bi-univalent Functions

open access: yesCommunications on Advanced Computational Science with Applications, 2015
In this paper, we consider a subclass $S_{\Sigma}(\alpha,\beta)$ of bi-univalent functions defined in the open unit disk $D=\lbrace z\in\mathbb{C}:|z|< 1\rbrace$. Besides, we find upper bounds for the second and third coefficients for functions in this subclass.
Saman Azizi, Sh. Najafzadeh, Ali Ebadian
openaire   +2 more sources

An Application of Miller–Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials

open access: yesMathematics, 2022
The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross ...
Ala Amourah   +2 more
doaj   +1 more source

Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions

open access: yesScience Journal of University of Zakho, 2022
This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients  and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah   +1 more
doaj   +1 more source

On Some New Classes of Bi-univalent Functions

open access: yesJournal of Applied Mathematics, Statistics and Informatics, 2018
Abstract In the present paper, we introduce and investigate two new subclasses QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions belonging to the classes QΣ(n;y;k) and BΣ(n;β;k), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.
Saumya Singh, M. Darus
openaire   +2 more sources

Coefficient bounds for certain subclasses of bi-univalent functions [PDF]

open access: yesCreative Mathematics and Informatics, 2015
In this paper we discuss some newly constructed subclasses of bi-univalent functions and establish bounds for the coefficients of the functions in the subclasses SΣ(λ, α) and SΣ(λ, β).
Yalçın Tokgöz, Sibel   +1 more
openaire   +2 more sources

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