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

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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.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…