Guangqing Bi

most citedThe Cauchy problem for higher-order linear partial differential equation

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

collaborators

4 papers

math.AP2018

On Evaluation of Zeta and Related Functions by Abstract Operators

Guang-Qing Bi

Building on the mapping relations between analytic functions and periodic functions using the abstract operators $cos (h \partial_{x})$ and $sin (h \partial_{x})$ , and by defining the Ze…

math.NT2018

Some Rapidly Converging Series for $ζ (2 n + 1)$ from Abstract Operators

Guang-Qing Bi

The author derives new family of series representations for the values of the Riemann Zeta function $ζ (s)$ at positive odd integers. For $n \in N$ , each of these series repr…

math.AP2018

Solutions of Cauchy problem for multiple inhomogeneous wave equation

Guang-Qing Bi

We define a class of pseudo-differential operators in a completely new way, which is called the abstract operators and expounded systematically the theory of abstract operators. By…

math.AP2010★ 1 cited

The Cauchy problem for higher-order linear partial differential equation

Guangqing Bi, Yuekai Bi

For the linear partial differential equation $P (\partial_{x}, \partial_{t}) u = f (x, t)$ , where $x \in R^{n}, t \in R^{1}$ , with $P (\partial_{x}, \partial_{t})$ is $\prod^m_{i=1}(\fra…

On Evaluation of Zeta and Related Functions by Abstract Operators

Some Rapidly Converging Series for ζ(2n+1) from Abstract Operators

Solutions of Cauchy problem for multiple inhomogeneous wave equation

The Cauchy problem for higher-order linear partial differential equation

Some Rapidly Converging Series for $ζ (2 n + 1)$ from Abstract Operators