5 citations · 16 across the 8 of their papers we have counts for
8 papers
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 and , and by defining the Ze…
Some Rapidly Converging Series for from Abstract Operators
Guang-Qing Bi
The author derives new family of series representations for the values of the Riemann Zeta function at positive odd integers. For , each of these series repr…
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…
New Relativistic Wave Equations for Two-Particle Systems
Guangqing Bi, Yuekai Bi
We seek to introduce a mathematical method to derive the relativistic wave equations for two-particle system. According to this method, if we define stationary wave functions as sp…
The Cauchy problem for higher-order linear partial differential equation
Guangqing Bi, Yuekai Bi
For the linear partial differential equation , where , with is $\prod^m_{i=1}(\fra…
New Properties of Fourier Series and Riemann Zeta Function
Guangqing Bi, Yuekai Bi
We establish the mapping relations between analytic functions and periodic functions using the abstract operators and , including the mapping…
Stationary Solutions of the Klein-Gordon Equation in a Potential Field
Guangqing Bi, Yuekai Bi
We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial f…
A New Operator Theory of Linear Partial Differential Equations
Guang-Qing Bi, Yue-Kai Bi
We first strictly expressed the basic notions and research methods of abstract operators, which systematically expounded the main results of abstract operator theory. By combining…