Results 31 to 40 of about 536,183 (317)
Univalent functions with univalent Gelfond-Leontev derivatives [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1993 We investigate functions of the form f(z) = z/(1 + 5 0 0 Sne Onz")=2 + E n s O n e " that are analytic in the unitary circle U. Necessary and sufficient conditions in terms of {n}for a trinomial f and the bounds of br, 1 § n 5 4 for a particular form
V. SRINIVAS
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Univalency of certain transform of univalent functions [PDF]
arXiv, 2022 We consider univalency problem in the unit disc $\mathbb D$ of the function $$g(z)=\frac{(z/f(z))-1}{-a_{2}},$$ where $f$ belongs to some classes of univalent functions in ${\mathbb D}$ and $a_{2}=\frac{f''(0)}{2}\neq 0$.
arxiv
Remark on functions with all derivatives univalent
International Journal of Mathematics and Mathematical Sciences, 1980 An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
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On the Univalence Criterion of a General Integral Operator
Journal of Inequalities and Applications, 2008 In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero.
H. Özlem Güney, Daniel Breaz
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Univalent functions maximizing Re[f(ζ1)+f(ζ2)]
International Journal of Mathematics and Mathematical Sciences, 1996 We study the problem maxh∈Sℜ[h(z1)+h(z2)] with z1,z2 in Δ. We show that no rotation of the Koebe function is a solution for this problem except possibly its real rotation, and only when z1=z¯2 or z1,z2 are both real, and are in a neighborhood of the x ...
Intisar Qumsiyeh Hibschweiler
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Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator
Mathematics, 2020 Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z
Ibtisam Aldawish +2 more
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On convolutions of slanted half-plane mappings
Journal of Taibah University for Science, 2021 The convolution of convex harmonic univalent functions in the unit disk, unlike analytic functions, may not be convex or even univalent. The main purpose of this work is to develop previous work involving the convolution of convex harmonic functions ...
Elif Yaşar
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Mathematics, 2023 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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Axioms, 2022 The logarithmic coefficients are very essential in the problems of univalent functions theory. The importance of the logarithmic coefficients is due to the fact that the bounds on logarithmic coefficients of f can transfer to the Taylor coefficients of ...
Sevtap Sümer Eker +3 more
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Boundary distortion estimates for holomorphic maps
, 2013 We establish some estimates of the the angular derivatives from below for holomorphic self-maps of the unit disk at one and two fixed points of the unit circle provided there is no fixed point inside the unit disk. The results complement Cowen-Pommerenke
Frolova, A. +3 more
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