3 citations · 4 across the 7 of their papers we have counts for
8 papers
All possible orders less than 1 of transcendental entire solutions of linear difference equations with polynomial coefficients
Katsuya Ishizaki, Zhi-Tao Wen
In this paper, we study all possible orders which are less than 1 of transcendental entire solutions of linear difference equations \begin{equation} P_m(z)Δ^mf(z)+\cdots+P_1(z)Δf(z…
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…
Difference radical in terms of shifting zero and applications to the Stothers-Mason theorem
Katsuya Ishizaki, Zhi-Tao Wen
In this paper, we study the shifting zeros with its heights and an analogue to difference radical. We focus on the Stothers-Mason theorem by using falling factorials. As applicatio…
Binomial series and complex difference equations
Katsuya Ishizaki, Zhi-Tao Wen
We consider properties of binomial series , where and the convergence of binomial series in the com…
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…
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…
Meromorphic solutions of algebraic difference equations
Katsuya Ishizaki, Risto Korhonen
It is shown that the difference equation \begin{equation}\label{abseq} (Δf(z))^2=A(z)(f(z)f(z+1)-B(z)), \qquad\qquad (1) \end{equation} where and are meromorphic func…