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Riemann-Hilbert Characterisation of Rational Functions with a General Distribution of Poles on the Extended Real Line Orthogonal with Respect to Varying Exponential Weights: Multi-Point Padé Approximants and Asymptotics
A. Vartanian, X. Zhou
Given arbitrary poles, which are neither necessarily distinct nor bounded, on the extended real line, a corresponding ordered base of rational functions orthogonal with respect…
Asymptotics of Recurrence Relation Coefficients, Hankel Determinant Ratios, and Root Products Associated with Laurent Polynomials Orthogonal with Respect to Varying Exponential Weights
K. T. -R. McLaughlin, A. H. Vartanian, X. Zhou
Orthogonalisation of the (ordered) base with respect to the real inner product $(f,g) \mapsto \int_{\mathbb{R}}f(…
Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential Weights
K. T. -R. McLaughlin, A. H. Vartanian, X. Zhou
Let denote the linear space over spanned by , . Define the real inner product (with varying exponential weights) $<\boldsymbo…
Asymptotics of Laurent Polynomials of Even Degree Orthogonal with Respect to Varying Exponential Weights
K. T. -R. McLaughlin, A. H. Vartanian, X. Zhou
Let denote the linear space over spanned by , . Define the real inner product (with varying exponential weights) $\lang…