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COEFFICIENT BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS
, 2015 An analytic function f defined on the open unit disk U = {z : vertical bar z vertical bar < 1} is biunivalent if the function f and its inverse f(-1) are univalent in U. Inspired by the recent work of Hamidi et al. [8], we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions.
Yalçın Tokgöz, Sibel +1 more
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Coefficient bounds for a subclass of Bi-univalent functions
Acta Universitatis Apulensis, 2014Summary: In the present investigation, we introduce two new subclasses \(ST_\Sigma(b,\phi)\) and \(CV_\Sigma(b,\phi)\) of bi-univalent functions defined in the open unit disc \(\mathbb U=\{z:| z|
Selvaraj, C. +2 more
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Coefficient estimates for a certain subclass of analytic and bi-univalent functions
Applied Mathematics Letters, 2012 In this paper, we introduce and investigate an interesting subclass HΣh,p of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class HΣh,p, we obtain estimates on the first two Taylor–Maclaurin coefficients |a2 ...
H M Srivastava
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Certain Subclasses of Meromorphically Bi-Univalent Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sim, Young Jae, Kwon, Oh Sang
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ON SOME CLASSES OF BI-UNIVALENT FUNCTIONS
1988Let S denote the class of all functions \(f(z)=z+a_ 2z^ 2+a_ 3z^ 3+..\). which are analytic and univalent in the unit disc \(U=\{z:| z|
Brannan, D. A., Taha, T. S.
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Löwner chains and a subclass of bi-univalent functions
Georgian Mathematical Journal, 2022Abstract In this paper, we give characterization of subclasses of bi-univalent functions and also consider bi-starlike functions on the unit disk in ℂ in terms of Löwner chains.
Shahram Najafzadeh +2 more
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On some subclasses of bi-univalent functions associated with pseudo-starlike functions
Journal of the Egyptian Mathematical Society, 2016 In this paper, we have established the Taylor–Maclaurin coefficients |a2| and |a3| of the two new subclasses of bi-univalent functions using pseudo-starlike functions in the open unit disk U={z:|z|
Pawar, Haridas +2 more
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ON SUBCLASSES OF M-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS
2021In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f (z) and f(-1) (z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients vertical bar a(m+1)vertical bar and vertical bar a(2m+1)vertical bar are found in this investigation.
Şeker, Bilal, Taymur, I
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On the Coefficients of Several Classes of Bi-Univalent Functions
Acta Mathematica Scientia, 2014Abstract In this paper, we investigate the bounds of the coefficients of several classes of bi-univalent functions. The results presented in this paper improve or generalize the recent works of other authors.
Zhigang PENG, Qiuqiu HAN
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Two Inclusive Subfamilies of bi-univalent Functions
International Journal of Neutrosophic ScienceThe aim of this article is to establish two new and qualitative subfamilies F(ε, κ, ℵ) and G(ε, κ, ℵ) of biunivalent functions. For functions in these subfamilies, we determine the first two Maclaurin coefficient estimations |C2| and |C3|, and address the Fekete–Szeg¨o problem. Additionally, we mention some corollaries related to the main results.
Tariq Tariq +3 more
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