Tao Jiang

activity

20212025

collaborators

3 papers

math.CA2025

A note on zeros of derivatives of ultraspherical Bessel functions

Tao Jiang

For any fixed $ν \geq 0, δ \in R$ and $x > 0$ , we investigate the positive zeros of the derivatives $j_{ν, δ}^{'} (x)$ and $y_{ν, δ}^{'} (x)$ , where \begin{equation*} j_{ν,δ}(x)=x^{-δ}J_ν…

math.CA2024

Bessel functions and Weyl's law for balls and spherical shells

Jingwei Guo, Tao Jiang, Zuoqin Wang +1

The purpose of this paper is twofold. One is to investigate the properties of the zeros of cross-products of Bessel functions or derivatives of ultraspherical Bessel functions, as…

math.NT2021

Lattice points in stretched finite type domains

J. Guo, T. Jiang

We study an optimal stretching problem, which is a variant lattice point problem, for convex domains in $R^{d}$ ( $d \geq 2$ ) with smooth boundary of finite type that are symm…