Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
Journal of Mathematics, 2022 In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad +4 more
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Fekete-Szegö inequalities for certain subclasses of meromorphic functions of complex order [PDF]
Le Matematiche, 2013 In this paper, we obtain Fekete-Szegö inequalities for a certain class of meromorphic functions f(z). Sharp bounds for the Fekete-Szegö functional |a1-μa02|are obtained.
Rabha M. El-Ashwah +2 more
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The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 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.
Toshio Hayami, Shigeyoshi Owa
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On a Subfamily of Analytic Functions Associated With q-Sălăgean Operator
Journal of MathematicsIn this article, we study a new subfamily of analytic functions associated with q-Janowski function using q-Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion ...
Ihtesham Gul +5 more
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Fekete-Szegö Problems for Quasi-Subordination Classes [PDF]
Abstract and Applied Analysis, 2012 An analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions φ and w, with |φ(z)|≤1, w(0)=0 and |w(z)|
Maisarah Haji Mohd, Maslina Darus
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Fibonacci Numbers Related to Some Subclasses of Bi-Univalent Functions
International Journal of Mathematics and Mathematical SciencesThis research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi-univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient a2 and ...
Ala Amourah +3 more
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Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers
Journal of MathematicsThis study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy +4 more
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On the Determinants for a Class of Analytic Function Using Sigmoid Beta-Catas Operator
Journal of Function SpacesGeometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions.
Olubunmi A. Fadipe-Joseph +3 more
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On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers [PDF]
, 2023 One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Szegö ...
Fethiye Sakar +7 more
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The Fekete–Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces [PDF]
, 2022 We study the Fekete–Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete–Szegö inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses ...
JACOBZON, Fiana, ELIN, Mark
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