Abstract:
Theorems describing the sharp constants for the approximation
of a general class of analytic functions by rational functions are proved.
Magnus's conjecture on the sharp constant for the approximation
of e−z on [0,∞] is established as a consequence.
For the proof of the theorems new formulae expressing the strong
asymptotics of polynomials orthogonal with respect to a varying complex weight are obtained.
This publication is cited in the following 65 articles:
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