Results 41 to 50 of about 5,426 (207)
Simple proofs of certain inequalities with logarithmic coefficients of univalent functions
Researches in MathematicsIn this paper, we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.
M. Obradović, N. Tuneski
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Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$
Hamid Shojaei
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On Convex Univalent Functions with Convex Univalent Derivatives
Rocky Mountain Journal of Mathematics, 2005 The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
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On the definition of a close-to-convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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مجلة بغداد للعلوم, 2023 This paper is interested in certain subclasses of univalent and bi-univalent functions concerning to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
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Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning [PDF]
, 2022 summary:We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded ...
Zaprawa, Pavel +3 more
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Distortion of boundary sets under inner functions and applications [PDF]
, 1992 10 pages, no figures.-- MSC2000 codes: 30C85, 30D50.MR#: MR1183352 (93k:30014)Zbl#: Zbl 0765.30011An inner function is a bounded holomorphic function from the unit disc $\Delta$ of the complex plane such that the radial boundary values have modulus 1 a.e.
Pestana, Domingo, Fernández, José L.
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On Littlewood’s conjecture for univalent functions [PDF]
Proceedings of the American Mathematical Society, 1982 The uniform asymptotic theory of functionals on S S is investigated. We prove that Littlewood’s conjecture is equivalent to
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A Note on Neighbourhoods of Univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1983 Using a notion of neighbourhood of analytic functions due to Stephan Ruscheweyh we examine conditions under which neighbourhoods of a certain class of convex functions are included in a class of starlike functions.
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Univalent Functions and Integrable Systems [PDF]
Communications in Mathematical Physics, 2005 We study one-parameter expanding evolution families of simply connected domains in the complex plane described by infinite systems of evolution parameters. These evolution parameters in some cases admit Hamiltonian formulation and lead to integrable systems.
Prokhorov, Dmitri, Vasil'ev, Alexander
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