Results 131 to 140 of about 3,642 (160)

Meromorphic Functions with Slow Growth of Nevanlinna Characteristics and Rapid Growth of Spherical Derivative

Journal of Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makhmutov, Sh. A., Makhmutova, M. S.
openaire   +2 more sources

On the Nevanlinna characteristic of confluent hypergeometric functions

Complex Variables and Elliptic Equations, 2019
A confluent hypergeometric function (Kummer's function) is a generalized hypergeometric series introduced by Kummer in 1837 [De integralibus quibusdam definitis et seriebus infinitis.
Xu-Dan Luo, Wei-Chuan Lin
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

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 (
openaire   +1 more source

Growth of nevanlinna characteristics of meromorphic functions of zero kind

Ukrainian Mathematical Journal, 1988
See the review in Zbl 0628.30036.
openaire   +2 more sources

Zero subsets, representation of meromorphic functions, and Nevanlinna characteristics in a disc

Sbornik: Mathematics, 2006
Let be a point sequence in the unit disc? and the Nevanlinna characteristic of the sequence?, . In terms of the Nevanlinna characteristic one finds estimates for the slowest possible growth of the characteristic as in the class of holomorphic functions in ? vanishing on .Let be a meromorphic function in .
openaire   +1 more source

On the Connection between the Nevanlinna Characteristics of an Entire Function and of its Derivative

1989
We use the usual notation of the Nevanlinna theory. The following result is mentioned but not proved in [2]: There exists an absolute constant Q > 1 such that $$\mathop{{\lim sup}}\limits_{{{{r}^{{ \to \infty }}}}} [T(Qr,f\prime )/T(r,f)] \geqslant 1$$ (1) for any transcendental entire function f.
Julian Ławrynowicz, Sakari Toppila
openaire   +1 more source

Some generalizations of nevanlinna characteristics and their properties

Ukrainian Mathematical Journal, 1980
openaire   +2 more sources

On interpolation in the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic

2014
In this paper we solve the interpolation problem for the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic under the condition that interpolation nodes are contained in a finite union of Stolz ...
Shamoyan, Faizo A., Rodikova, Eugenia G.
openaire   +2 more sources