Results 21 to 30 of about 19,336 (224)
Subclasses of bi-univalent functions defined by convolution
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El-Ashwah, R.M.
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Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions [PDF]
summary:We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions.
Frasin, Basem Aref, Wanas, Abbas Kareem
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Initial coefficients for generalized subclasses of bi-univalent functions defined with subordination [PDF]
summary:This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc $E=\left\rbrace z:\mid z \mid
Singh, Gurmeet +2 more
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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
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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
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Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution [PDF]
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
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Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]
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
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An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions
In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and a3 and Fekete-Szegö problems for functions belonging to RΣμ(x,γ,α,δ,β) have been derived as well.
Ala Amourah +3 more
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In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
Timilehin Gideon Shaba +5 more
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Certain Inequalities for a General Class of Analytic and Bi-univalent Functions [PDF]
In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are ...
Arzu Akgul
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