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Logarithmic coefficients means of univalent functions

Complex Variables, Theory and Application: An International Journal, 1986
Let S be the class of functions f(z) = z + c 2 z 2 + … analytic and univalent in the disk Let be for f(z) ∈ S. One considers means of the form The choice x k which realizes extremal properties in the class S of the function is of main interest, especially the case x k = n - k + 1 (k= 1,…,), which corresponds to Milin's conjecture: In 1984 L. de Branges
I. M. Milin, A. Z. Grinshpan
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Absolute logarithmic calibration for correlation coefficient with multiplicative distortion

Communications in Statistics - Simulation and Computation, 2020
This paper studies the estimation of correlation coefficient between unobserved variables of interest.
Jun Zhang 0027, Zhuoer Xu, Zhenghong Wei
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Logarithmic transform coefficient histogram matching with spatial equalization

SPIE Proceedings, 2005
In this paper we propose an image enhancement algorithm that is based on utilizing histogram data gathered from transform domain coefficients that will improve on the limitations of the histogram equalization method. Traditionally, classical histogram equalization has had some problems due to its inherent dynamic range expansion. Many images with data
Blair Silver   +2 more
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The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α

Lithuanian Mathematical Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bilal Şeker   +3 more
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Difference of Sums Containing Products of Binomial Coefficients and Their Logarithms

SIAM Review, 2006
Properties of the difference of two sums containing products of binomial coefficients and their logarithms which arise in the application of Shannon's information theory to a certain class of covert channels are deduced. Some allied consequences of the latter are also recorded.
Allen R. Miller, Ira S. Moskowitz
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Some applications of the theorems on the logarithmic coefficients

Siberian Mathematical Journal, 1991
See the review in Zbl 0726.30014.
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Logarithmic coefficients of locally univalent functions

1989
In this paper the authors prove a bound for the coefficients of \(\log f'(z)=\sum_{n=1}^ \infty \gamma_ n z^ n\) for some locally univalent function \(f\) of the unit disk for which there is a representation \[ f'(z)=s'(z)\cdot \exp\{-2\int_ 0^{2\pi}\log{{1- \omega(z)e^{it}} \over {1-\omega(0)e^{it}}}d\mu(t)\} \] where \(s(z)=z+\dots\) is a normalized ...
Godula, Janusz, Starkov, Victor V.
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Logarithmic coefficients of univalent functions

Journal d'Analyse Mathématique, 1979
Duren, P. L., Leung, Y. L.
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