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Correction to: Solutions of Complex Fermat-Type Partial Difference and Differential-Difference Equations
We give a correction to Theorem 1.2 in a previous paper [Mediterr. J. Math. (2018) 15:227]. Two examples are given to explain the corrected...
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Meromorphic Functions with Finite Growth Index on Complex Discs Sharing Values or Pairs of Values
We study the finiteness and the uniqueness of families of meromorphic functions with finite growth index on a complex disc Δ( R ) (0 < R ≤ + ∞) sharing...
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Value distribution of q-differences of meromorphic functions in several complex variables
In this paper, we study q -difference analogues of several central results in value distribution theory of several complex variables such as q -differen...
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A Difference Picard Theorem for Meromorphic Functions of Several Variables
It is shown that if n ∈ ℕ, c ∈ ℂ n , and three distinct values of a meromorphic function f : ℂ n sr 1 of hyper-order gV( f ) strictly less than 2/3 have...
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Normal Families of Meromorphic Map**s of Several Complex Variables into the Complex Projective Space
In this paper, we discuss normality criteria for families of holomorphic map**s and meromorphic map**s of several complex variables into the... -
Nevanlinna Theory and Diophantine Approximations
In this note, we will introduce some basic problems and progresses in Nevanlinna theory and Diophantine approximations, say, discuss the... -
Further results on factorization of meromorphic solutions of partial differential equations
This paper is a continuation of Hu-Yang [
2 ]. Here we extend Malmquist type theorem ofalgebraic differential equations of Steinmetz [3 ] and Tu [4 ] to... -
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ϵ-ENTROPY of a set in a metric space - The logarithm to the base 2 of the smallest number of points in an ϵ-net for this set. In other words, the... -
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On the topology of compact smooth three-dimensional Levi-flat hypersurfaces
We study topological conditions that must be satisfied by a compact C ∞ Levi-flat hypersurface in a two-dimensional complex manifold, as well as...
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∊-ENTROPY of a set in a metric space — The logarithm to the base 2 of the smallest number of points in an ∊-net for this set.