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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1999, Volume 6, Number 3/4, Pages 353–360 (Mi jmag419)  
A remark to the paper of A. A. Gol'dberg “An estimate of modulus of logarithmic derivative of Mittag–Leffler function and its applications”

I. N. Peresyolkova

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (225 kB)
Abstract: An upper estimate of modulus of logarithmic derivative of the function of Mittag–Leffler's type $E_{\rho}(z,\mu)$ is obtaind. Using this result we describe the set of pairs $(\rho,\mu)$ such that the function of Mittag–Leffler's type is a function of bounded index.
Received: 26.01.1998
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Document Type: Article
Language: Russian
Citation: I. N. Peresyolkova, “A remark to the paper of A. A. Gol'dberg “An estimate of modulus of logarithmic derivative of Mittag–Leffler function and its applications””, Mat. Fiz. Anal. Geom., 6:3/4 (1999), 353–360
Citation in format AMSBIB
\Bibitem{Per99}
\by I.~N.~Peresyolkova
\paper A remark to the paper of A.\,A.~Gol'dberg ``An estimate of modulus of logarithmic derivative of Mittag--Leffler function and its applications''
\jour Mat. Fiz. Anal. Geom.
\yr 1999
\vol 6
\issue 3/4
\pages 353--360
\mathnet{http://mi.mathnet.ru/jmag419}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737218}
\zmath{https://zbmath.org/?q=an:0952.30025}
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