7 citations · 14 across the 8 of their papers we have counts for
10 papers
Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory
Janne Heittokangas, Katsuya Ishizaki, Kazuya Tohge +1
An exponential polynomial is a finite linear sum of terms , where and are polynomials. The early results on the value distribution of exponential polyno…
Dual exponential polynomials and a problem of Ozawa
Janne Heittokangas, Katsuya Ishizaki, Kazuya Tohge +1
Complex linear differential equations with entire coefficients are studied in the situation where one of the coefficients is an exponential polynomial and dominates the growth of a…
Exponential polynomials in the oscillation theory
Janne Heittokangas, Katsuya Ishizaki, Ilpo Laine +1
Supposing that is an exponential polynomial of the form where 's are entire and of order , it is demons…
A lemma on the difference quotients
Risto Korhonen, Kazuya Tohge, Yueyang Zhang +1
Using a new Borel type growth lemma, we extend the difference analogue of the lemma on the logarithmic derivative due to Halburd and Korhonen to the case of meromorphic functions $…
Mason's theorem with a difference radical
Katsuya Ishizaki, Risto Korhonen, Nan Li +1
Differential calculus is not a unique way to observe polynomial equations such as . We propose a way of applying difference calculus to estimate multiplicities of the roots…
Tropical variants of some complex analysis results
Kai Liu, Ilpo Laine, Kazuya Tohge
Tropical Nevanlinna theory studies value distribution of continuous piecewise linear functions of a real variable. In this paper, we use the reasoning from tropical Nevanlinna theo…
Difference analogue of Cartan's Second Main Theorem for slowly moving periodic targets
Risto Korhonen, Nan Li, Kazuya Tohge
We extend the difference analogue of Cartan's second main theorem for the case of slowly moving periodic hyperplanes, and introduce two different natural ways to find a difference…
Second Main Theorem in the Tropical Projective Space
Risto Korhonen, Kazuya Tohge
Tropical Nevanlinna theory, introduced by Halburd and Southall as a tool to analyze integrability of ultra-discrete equations, studies the growth and complexity of continuous piece…
Tropical Nevanlinna theory and second main theorem
Ilpo Laine, Kazuya Tohge
We present a version of the tropical Nevanlinna theory for real-valued, continuous, piecewise linear functions on the real line. In particular, a tropical version of the second mai…
Holomorphic curves with shift-invariant hyperplane preimages
Rodney Halburd, Risto Korhonen, Kazuya Tohge
If f: C -> P^n is a holomorphic curve of hyper-order less than one for which 2n + 1 hyperplanes in general position have forward invariant preimages with respect to the translation…