Asymptotic of Cauchy biorthogonal polynomials

Published 30 Mar 2019 in math.CA | (1904.00126v1)

Abstract: We consider sequences of biorthogonal polynomials with respect to a Cauchy type convolution kernel and give the weak and ratio asymptotic of the corresponding sequences of biorthogonal polynomials. The construction is intimately related with a mixed type Hermite-Pad\'e approximation problem whose asymptotic properties is also revealed.

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