15 citations · 19 across the 10 of their papers we have counts for
11 papers
Error bounds for the asymptotic expansions of the Hermite polynomials
Wei Shi, Gergő Nemes, Xiang-Sheng Wang +1
In this paper, we present explicit and computable error bounds for the asymptotic expansions of the Hermite polynomials with Plancherel--Rotach scale. Three cases, depending on whe…
Special functions, integral equations and Riemann-Hilbert problem
R. Wong, Yu-Qiu Zhao
We consider a pair of special functions, and , defined respectively as the solutions to the integral equations \begin{equation*} u(x)=1+\int^\infty_0 \frac {K(t) u(t) dt…
Uniform Treatment of Darboux's Method and the Heisenberg Polynomials
Sai-Yu Liu, R. Wong, Yu-Qiu Zhao
We show that the set of Heisenberg polynomials furnishes a simple non-trivial example in the uniform treatment of Darboux's method.
Asymptotics of Discrete Chebyshev Polynomials
J. H. Pan, Roderick Wong
The discrete Chebyshev polynomials are orthogonal with respect to a distribution, which is a step function with jumps one unit at the points , bei…
Integral and Series Representations of the Dirac Delta Function
Y. T. Li, R. Wong
Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in the physics literature. These include integrals of…
Global Asymptotics of Stieltjes-Wigert Polynomials
Y. T. Li, R. Wong
Asymptotic formulas are derived for the Stieltjes-Wigert polynomials in the complex plane as the degree grows to infinity. One formula holds in any disc centered at…