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math.CV2016
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…
math.CV2014
Weights with both absolutely continuous and discrete components: Asymptotics via the Riemann-Hilbert approach
Xiao-Bo Wu, Yu Lin, Shuai-Xia Xu +1
We study the uniform asymptotics for the orthogonal polynomials with respect to weights composed of both absolutely continuous measure and discrete measure, by taking a special cla…