Results 41 to 50 of about 32,526 (223)

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

On τ-Pseudo-ν-Convex κ-Fold Symmetric Bi-Univalent Function Family

open access: yes, 2022
The object of this article is to explore a τ-pseudo-ν-convex κ-fold symmetric bi-univalent function family satisfying subordinations condition generalizing certain previously examined families. We originate the initial Taylor–Maclaurin
Sondekola Rudra Swamy   +1 more
core   +1 more source

Coefficient Estimates for Bi-univalent Functions Defined By (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials

open access: yesJournal of Mathematical and Fundamental Sciences, 2021
In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced ...
Trailokya Panigrahi   +1 more
doaj   +1 more source

Coefficient inequalities for new subclasses of bi-univalent functions defined by using the function δ

open access: yes, 2022
© 2022 World Scientific Publishing Company.In this investigation, we introduce and study two new subclasses of bi-univalent functions defined by using the function f and Salagean differential operator.
Sağsöz, Fatma, Orhan, Halit
core   +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
doaj   +1 more source

Coefficient Estimates for Some Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Linear Operator

open access: yes, 2021
 The articles introduces and investigates "two new subclasses of the bi-univalent functions ." These are analytical functions related to the m-fold symmetric function  and  .
Hussein , Dhirgam Allawy Hussein   +1 more
core   +1 more source

Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]

open access: yesMathematica Bohemica
In the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi   +2 more
doaj   +1 more source

Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator

open access: yes, 2022
In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions.
Kamsing Nonlaopon   +3 more
core   +1 more source

Cofficient estimates for a general Subclass of bi-univalent functions

open access: yesBoletim da Sociedade Paranaense de Matemática, 2022
‎In this paper‎, ‎we introduce and investigate an interesting subclass‎ ‎${\cal{S}}^{h,p}_{\Sigma}(A,B,C,\lambda)$ of bi-univalent functions in the open unit disk $\mathbb{U}$‎. ‎Furthermore‎, ‎we find estimates on the $|a_2|$ and $|a_3|$‎ ‎coefficients for functions in this subclass‎. ‎The coefficient bounds presented here generalize some recent works
openaire   +3 more sources

Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator

open access: yes, 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 < 1 , which are bi-univalent in U , that ...
Ibtisam Aldawish   +2 more
core   +1 more source

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