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Titlebook: Computational Methods and Function Theory; Proceedings of a Con Stephan Ruscheweyh,Edward B. Saff,Richard S. Varga Conference proceedings 1

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楼主: Enkephalin
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https://doi.org/10.1007/978-3-642-00460-5e evolution of a slightly perturbed flat vortex sheet. We will indicate some open problems of current research and propose a new physically desingularized Vortex sheet equation, which agrees with the finite thickness vortex layer equations in the localized approximation.
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On the maximal range problem for slit domains,e . Ω. as . We are interested in the explicit characterization of Ω. for some specific domains as well as the corresponding . ε ..(ω), i.e. the ones with .. In this paper we solve completely the maximal range problem for the slit domains . These results yield, for instance, new inequalities relating
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On bernstein type inequalities and a weighted chebyshev approximation problem on ellipses,ny smaller ellipse with the same foci. For the uniform and a certain weighted uniform norm, and for the case that the two ellipses are not “too close”, we derive sharp estimates of this type and determine the corresponding extremal polynomials. These Bernstein type inequalities are closely connected
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Conformal mapping and Fourier-Jacobi approximations,, we explain how the corner singularities of the of the derivative of the boundary correspondence function can be represented by Jacobi weight functions, and study the convergence properties of an associated Fourier-Jacobi method for approximating this derivative. The practical significance of this
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Open problems and conjectures in complex analysis,
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Orthogonal polynomials, chain sequences, three-term recurrence relations and continued fractions,
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