Abstract:
We investigate the influence that the number of maximum modulus points of a meromorphic function on the circle |z|=r has on the magnitudes of growth and value distribution. Sharp estimates are obtained for the corresponding magnitudes.
Citation:
I. I. Marchenko, “On the magnitudes of deviations and spreads of meromorphic functions of finite lower order”, Sb. Math., 186:3 (1995), 391–408
\Bibitem{Mar95}
\by I.~I.~Marchenko
\paper On the magnitudes of deviations and spreads of meromorphic functions of finite lower order
\jour Sb. Math.
\yr 1995
\vol 186
\issue 3
\pages 391--408
\mathnet{http://mi.mathnet.ru/eng/sm23}
\crossref{https://doi.org/10.1070/SM1995v186n03ABEH000023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1331810}
\zmath{https://zbmath.org/?q=an:0854.30023}
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Linking options:
https://www.mathnet.ru/eng/sm23
https://doi.org/10.1070/SM1995v186n03ABEH000023
https://www.mathnet.ru/eng/sm/v186/i3/p85
This publication is cited in the following 12 articles:
Nguyen Van Thin, “Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain”, ASY, 2024, 1
Arnold Kowalski, Ivan I. Marchenko, “On Defects of Entire Curves of Finite Lower Order”, Taiwanese J. Math., -1:-1 (2024)
Arnold Kowalski, Ivan Marchenko, “On deviations and maximum points of algebroid functions of finite lower order”, Kodai Math. J., 44:1 (2021)
Wu N. Xuan Z., “On the Growth of Holomorphic Curves”, Kodai. Math. J., 37:2 (2014), 285–302
Ewa Ciechanowicz, “Maximum modulus points of meromorphic functions and Valironʼs defect”, Electronic Notes in Discrete Mathematics, 43 (2013), 69
E. Ciechanowicz, I.I. Marchenko, “On deviations and strong asymptotic functions of meromorphic functions of finite lower order”, Journal of Mathematical Analysis and Applications, 2011
Kaluzhynova L., Marchenko I., “On Deviations, Defects and Asymptotic Functions of Meromorphic Functions”, Ann Acad Sci Fenn Math, 36:2 (2011), 603–619
Marchenko I.I., Szkibiel A., “On Strong Tracts of Subharmonic Functions of Infinite Lower Order”, Ann. Pol. Math., 92:3 (2007), 275–284
E. Ciechanowicz, I. I. Marchenko, Advances in Complex Analysis and Its Applications, 3, Value Distribution Theory and Related Topics, 2004, 117
I. I. Marchenko, “On the Shea estimate for the magnitude of deviation of a meromorphic function”, Russian Math. (Iz. VUZ), 2000, no. 8, 44–49
I. I. Marchenko, “On asymptotic values of entire functions”, Izv. Math., 63:3 (1999), 549–560
I. I. Marchenko, “Growth of entire and meromorphic functions”, Sb. Math., 189:6 (1998), 875–899
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