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On Fekete-Szegö Problems for Certain Subclasses Defined by q-Derivative
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Fekete-Szegö Problem for a New Class of Analytic Functions
Published 2011-01-01“…We consider the Fekete-Szegö problem with complex parameter 𝜇 for the class 𝑅𝜏𝛾(𝜙) of analytic functions.…”
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The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
Published 2011-01-01“…For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.…”
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Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial
Published 2024-07-01“…Bounds for coefficients $\left|a_{2}\right|$ and $\left|a_{3}\right|$ of functions in these subclasses are estimated in terms of generalized Bivariate Fibonacci polynomials. In addition, the Fekete-Szeg\"{o} problem is handled for the members of these subclasses and several consequences and examples of the main results are presented. …”
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Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
Published 2022-01-01“…We also study the famous Fekete-Szegö type problem for this subclass which is obtained. …”
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Some Properties of Close-To-Convex Functions Associated with A Strip Domain
Published 2024-03-01“…Inclusion relations, geometrical interpretation, coefficient estimates, inverse function coefficient estimates and solution to the Fekete-Szeg\H{o} problem of the defined class are our main results. …”
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Some Sharp Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions
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On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli
Published 2020-01-01“…Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and Fekete–Szegö problem for this class.…”
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Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials
Published 2022-01-01“…We obtain estimates for initial coefficients and solve the Fekete–Szego¨ problem for functions that belong to this family. …”
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New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains
Published 2022-01-01“…We investigate the number of useful properties such that structural formula, coefficient estimates, Fekete–Szego problem and subordination result. We also highlighted some known corollaries of our main results.…”
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Beta-Bazilevič Function
Published 2024-03-01“…Using Lemmas of function with positive real part, we were given a sharp estimate of coefficient problems. The coefficient problems to be solved are the modulus of initial coefficients $f$, the modulus of inverse coefficients $f^{-1}$, the modulus of the Logarithmic coefficients $\log \frac{f(z)}{z}$, the Fekete-Szeg\"{o} problem and the second Hankel determinant problem.…”
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Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator
Published 2013-01-01“…Our main object is to provide sharp upper bounds for Fekete-Szegö problem in . We also find sufficient conditions for a function to be in this class. …”
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On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination
Published 2010-01-01“…Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.…”
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New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator
Published 2022-01-01“…For this class, we investigate structural formula, coefficient estimates, sufficient condition, Fekete–Szegö problem, and also some subordination results.…”
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The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains
Published 2022-01-01“…The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. …”
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Starlikeness associated with parabolic regions
Published 2005-01-01“…There exist different extremal functions for these coefficient problems. Additionally, we obtain a sharp estimate for the Fekete-Szegö coefficient functional and investigate convolution properties for PS∗(ρ).…”
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