Results 41 to 50 of about 32,519 (212)

Estimates of Coefficients for Bi-Univalent Functions in the Subclass H_∑ (n,γ,φ)

open access: yesTikrit Journal of Pure Science, 2023
Considering that finding the bounds for the coefficients of the Taylor-Maclaurin series expansion of bi-univalent functions is one of the important subjects in geometric function theory that has attracted the attention of many researchers in the last ...
Khalid I. Abdullah , Nafya H. Mohammed
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 Q Σ (n; y;k) and B Σ (n;β;k) of bi-valent functions in the unit disk U.
Darus, M., Singh, Saumya
openaire   +1 more source

Subclasses of Bi-Univalent Functions Associated with Hohlov Operator [PDF]

open access: yes, 2017
The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions.
Aini Janteng   +2 more
core   +1 more source

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

open access: yesSahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere   +2 more
doaj   +1 more source

Coefficient estimates for certain subclass of bi-univalent functions [PDF]

open access: yesAIP Conference Proceedings, 2017
In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.
Nurdiana Nurali   +2 more
openaire   +2 more sources

Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution [PDF]

open access: yes, 2023
We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and
El-Deeb, Sheza M.   +3 more
core   +1 more source

Estimates of Initial Coefficients for Bi-Univalent Functions [PDF]

open access: yesAbstract and Applied Analysis, 2014
We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-univalent functions.
openaire   +4 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

Faber polynomials estimates for bi-univalent functions of complex order involving q-derivative [PDF]

open access: yes, 2023
In this paper, we define a new subclass of bi-univalent functions of complex order ∑q(τ,ζ;φ) which is defined by subordination in the open unit disc D by using ∇q (ϑ) operator.
Mostafa, A. O.   +2 more
core   +2 more sources

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

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