Z. Wen

activity

20192026

most citedDual exponential polynomials and a problem of Ozawa

3 citations · 8 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

6 papers · 1 filter

math.CV2019

Contour integral solutions of linear differential equations which include a generalization of the Airy integral

Gary G. Gundersen, Janne M. Heittokangas, Zhi-Tao Wen

The Airy integral is a well-known contour integral solution of Airy's equation which has several applications and which has been used for mathematical illustrations due to its inte…

math.CV2019★ 1 cited

A continuous transition from $E$ -sets to $R$ -sets and beyond

Jie Ding, Janne Heittokangas, Zhi-Tao Wen

The well-known $E$ -sets introduced by Hayman in 1960 are collections of Euclidean discs in the complex plane with the following property: The set of angles $θ$ for which…

math.CV2019★ 1 cited

The asymptotic number of zeros of exponential sums in critical strips

J. Heittokangas, Z. -T. Wen

Normalized exponential sums are entire functions of the form $f (z) = 1 + H_{1} e^{w_{1} z} + \dots + H_{n} e^{w_{n} z},$ where $H_1,\ldots, H_n\in\C$ and $0 < w_{1} < \dots < w_{n}$ . It is known that the…

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★ 1 cited

Deficient values of solutions of linear differential equations

Gary G. Gundersen, Janne Heittokangas, Zhi-Tao Wen

Differential equations of the form $f^{''} + A (z) f^{'} + B (z) f = 0$ (*) are considered, where $A (z)$ and $B (z) \neq \equiv 0$ are entire functions. The Lindelöf function is used to show t…

math.CV2019★ 1 cited

Generalization of Pólya's zero distribution theory for exponential polynomials, plus sharp results for asymptotic growth

Janne Heittokangas, Zhi-Tao Wen

An exponential polynomial of order $q$ is an entire function of the form $f (z) = P_{1} (z) e^{Q_{1} (z)} + \dots + P_{k} (z) e^{Q_{k} (z)},$ where the coefficients $P_{j} (z), Q_{j} (z)$ are polynomial…

Contour integral solutions of linear differential equations which include a generalization of the Airy integral

A continuous transition from E-sets to R-sets and beyond

The asymptotic number of zeros of exponential sums in critical strips

Binomial series and complex difference equations

Deficient values of solutions of linear differential equations

Generalization of Pólya's zero distribution theory for exponential polynomials, plus sharp results for asymptotic growth

A continuous transition from $E$ -sets to $R$ -sets and beyond