K. Ishizaki

activity

20182021

most citedDifference radical in terms of shifting zero and applications to the Stothers-Mason theorem

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.CV2021

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…

math.CA2021★ 1 cited

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…

math.CV2019

Binomial series and complex difference equations

Katsuya Ishizaki, Zhi-Tao Wen

We consider properties of binomial series $\sum_{n = 0}^{\infty} a_{n} z^{n}$ , where $z^{n} = z (z - 1) \dots (z - n + 1)$ and the convergence of binomial series in the com…

math.CV2019

Exponential polynomials in the oscillation theory

Janne Heittokangas, Katsuya Ishizaki, Ilpo Laine +1

Supposing that $A (z)$ is an exponential polynomial of the form $A (z) = H_{0} (z) + H_{1} (z) e^{ζ_{1} z^{n}} + \dots + H_{m} (z) e^{ζ_{m} z^{n}},$ where $H_{j}$ 's are entire and of order $< n$ , it is demons…

math.CV2018

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 $a + b = c$ . We propose a way of applying difference calculus to estimate multiplicities of the roots…