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Nevanlinna characteristic and integral inequalities with maximal radial characteristic for meromorphic functions and for differences of subharmonic functions

St. Petersburg Mathematical Journal, 2023
Let f f be a meromorphic function on the complex plane with Nevanlinna characteristic T ( r , f ) T(r,f) and maximal radial characteristic ln ⁡ M ( t , f ) \ln M(t,f) , where M (
B. Khabibullin
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Integrals of a difference of subharmonic functions against measures and the Nevanlinna characteristic

Sbornik: Mathematics, 2022
Integral inequalities for integrals of differences of subharmonic functions against Borel measures on balls in multidimensional Euclidean spaces are obtained. These integrals are estimated from above in terms of the product of the Nevanlinna characteristic of the function and various characteristics of the Borel measure and its support.
B. Khabibullin
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Nevanlinna Theory in Characteristic P and Applications

2003
Let K be a complete ultrametric algebraically closed field of characteristic p. We show that Nevanlinna’s main Theorem holds, with however some corrections. Then, many results obtained in characteristic zero have generalization. When p ≠ 0, we have to make new proofs in most of the cases.
Abdelbaki Boutabaa, Alain Escassut
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On Nevanlinna's characteristic function of entire functions and their derivatives

Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1977
Sakari Toppila
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The boundary values of meromorphic functions having bounded nevanlinna characteristic

Journal d'Analyse Mathématique, 1967
M. Heins
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Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations

Siberian Mathematical Journal, 1975
Mokhon'ko, A. Z., Mokhon'ko, V. D.
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Nevanlinna Theory in characteristic p

2015
A. Escassut
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The Nevanlinna Class or the Class of Functions of a Bounded Characteristic

The Krzyż Conjecture: Theory and Methods, 2021
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Estimates of Nevanlinna characteristics of algebroid functions and their applications to differential equations

Siberian Mathematical Journal, 1982
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Meromorphic Functions with Slow Growth of Nevanlinna Characteristics and Rapid Growth of Spherical Derivative

Journal of Mathematical Sciences, 2021
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Makhmutov, Sh. A., Makhmutova, M. S.
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