Titlebook: E.B. Christoffel; The Influence of His P. L. Butzer,F. Fehér Book 1981 Springer Basel AG 1981 Euklid.physical sciences.Universität Straßbur

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The Work of E.B. Christoffel on the Theory of Continued Fractionstic having a close connection with the regular continued fraction for this number, secondly the expression in simple closed form of the convergents of the continued fraction expansion of quotients of Bessel functions of contiguous orders, and thirdly the continued fraction expansion of functions def

Directed

Generalisations of Padé Approximation for Chebyshev and Fourier Seriesdé approximants. Using the doubly-complex ‘.-numbers’, these definitions are extended to complex Chebyshev and complex Fourier series. It is shown that these approximants are all also defined by the generating function method. For . ≥ ., our Chebyshev series approximants are equal to the Clenshaw-Lo

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An Asymptotic, Padé Approximant Method for Legendre Seriescoefficients as a function of their order. For several examples drawn from potential scattering theory, this method of acceleration of convergence is compared with two others and is found to be the most efficient, but not dramatically so.

Living-Will

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Die Bedeutung der Arbeiten Christoffels für die Funktionentheorieions of a polygon by moving the poles appropriately (method of continuity). But it was only A. Weinstein (Math. Zeitschr. vol.21 (1923)) who gave a full and simplified proof of the mapping theorem for polygons by the method of continuity.