Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination
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In this article, the authors obtained upper bounds for functions belonging to a comprehensive subclass of analytic bi-univalent functions, which is defined by subordinations in the open unit disk.Abstract:
In this work with a different technique we obtain upper bounds of the functional ∣∣a2a4 − a23∣∣ for functions belonging to a comprehensive subclass of analytic bi-univalent functions, which is defined by subordinations in the open unit disk. Moreover, our results extend and improve some of the previously known ones.read more
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Coefficient bounds and differential subordinations for analytic functions associated with starlike functions
TL;DR: In this paper, the authors studied some coefficient problems for certain classes associated with starlike functions such as sharp bounds for initial coefficients, logarithmic coefficients, Hankel determinants and Fekete-Szego problems.
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Argument and Coefficient Estimates for Certain Analytic Functions
TL;DR: In this article, the authors introduced a new class G α, δ of analytic functions in the open unit disk and studied some properties associated with strong starlikeness and close-to-convexity for the class.
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New Results for Some Generalizations of Starlike and Convex Functions
TL;DR: In this paper, the authors investigate several various problems for the categories, and other related categories such as various new outcomes for the coefficients of, together with majorization issues, the Hankel determinant, and the logarithmic coefficients with sharp inequalities and differential subordination implications.
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The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions
TL;DR: In this article, a bound for the functional H 2 (2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions is given.
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Solution of logarithmic coefficients conjectures for some classes of convex functions
TL;DR: In this paper , it was shown that these conjectures hold for the logarithmic coefficient γn0−1 of a function f with the form f(z)=z+∑k=n0∞akzk $ f(n)=z + ∑k+∞kzk.
References
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Certain subclasses of analytic and bi-univalent functions
TL;DR: Two interesting subclasses of normalized analytic and univalent functions in the open unit disk whose inverse has univalently analytic continuation to U is introduced and investigated.
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On a coefficient problem for bi-univalent functions
TL;DR: The bi-univalent function f(z) is defined in this paper as a function that belongs to a set of functions mapping the open unit circle onto a schlicht domain containing open unit circles.
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New subclasses of bi-univalent functions
Basem Aref Frasin,M. K. Aouf +1 more
TL;DR: Two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc are introduced and estimates on the coefficients of functions in these new sub classes are found.
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