Results 31 to 40 of about 75,857 (270)

Development of Novel Subclasses for Bi-Univalent Functions

open access: yesASM Science Journal, 2021
This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator.
MUNIRAH ROSSDY   +2 more
doaj   +3 more sources

Coefficient Bounds for Certain Subclasses of Bi-Univalent Function [PDF]

open access: yesAbstract and Applied Analysis, 2013
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.
G. Murugusundaramoorthy   +2 more
doaj   +4 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   +3 more sources

Initial Maclaurin coefficient estimates for $\lambda$-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions [PDF]

open access: diamondMathematica Bohemica, 2022
We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda$-pseudo-starlike functions with Sakaguchi-type functions.
Abbas Kareem Wanas, Basem Aref Frasin
doaj   +2 more sources

Coefficient problem for certain subclasses of bi-univalent functions defined by convolution [PDF]

open access: greenMathematica Moravica, 2016
In this paper, we consider a general subclass HλΣ (h, β) of bi-univalent functions. Bounds on the first two coefficients اa2ا and اa3ا for functions in HλΣ (h, β) are given. The main results generalize and improve a recent one obtained by Srivastava [18].
Altınkaya Sahsene, Yalçın Sibel
doaj   +1 more source

Initial Coefficient Bounds for interesting Subclasses of Meromorphic and and Bi-Univalent Functions [PDF]

open access: yesJournal of Mahani Mathematical Research, 2022
In this paper, we investigate an interesting subclass of univalent functions. Also, we introduce a new subclass of meromorphic bi-univalent functions. We obtain the estimates on the initial Taylor-Maclurin Coefficients for functions in the interesting ...
Hormoz Rahmatan   +2 more
doaj   +1 more source

Results on BI-univalent Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
When the class σ \sigma of bi-univalent functions was first defined, it was known that functions of the form ϕ ∘ ψ − 1 ∈ σ \phi \circ {\psi ^{ - 1}} \in \sigma when ϕ \phi and
Styer, D., Wright, D. J.
openaire   +2 more sources

Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials

open access: yesMathematics, 2023
Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
doaj   +1 more source

Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

open access: yesApplied Mathematics in Science and Engineering, 2022
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu   +5 more
doaj   +1 more source

Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we obtain  upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
doaj   +1 more source

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