Analytic Theory of Continued Fractions III: Proceedings of a by S. Clement Cooper (auth.), Lisa Jacobsen (eds.)

By S. Clement Cooper (auth.), Lisa Jacobsen (eds.)

Contents: S.C. Cooper: -Fraction suggestions to Riccati Equations.- R.M. Hovstad: Irrational persisted Fractions.- L. Jacobsen, W.J. Thron, H. Waadeland: Julius Worpitzky, his Contributions to the Analytic conception of persisted Fractions and his Times.- W.B. Jones, N.J. Wyshinski: confident T-Fraction Expansions for a relatives of particular Functions.- J.H. McCabe: On persevered Fractions linked to Polynomial style Padé Approximants, with an Application.- O. Njastad: Multipoint Padé Approximants and similar endured Fractions.- O. Njastad: A Survey of a few effects on Separate Convergence of persevered Fractions.- O. Njastad, H. Waadeland: a few comments on Nearness difficulties for persisted Fraction Expansions.- W.J. Thron: persevered Fraction Identities Derived from the Invariance of the Crossratio less than Linear Fractional Transformations.- H. Waadeland: Boundary models of Worpitzky's Theorem and of Parabola Theorems.

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Additional info for Analytic Theory of Continued Fractions III: Proceedings of a Seminar-Workshop, held in Redstone, USA, June 26–July 5, 1988

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One wonders whether weavers in Carlsburg had as hard a life as those in Silesia, who, in desperation, rose in revolt against their masters in 1844. We know nothing about Julius' early schooling. Presumably it took place in his father's school in Cartsburg. In the fall (Michaelis) 1848 he was enrolled in the Gymnasium at Anclam (now Anklam). Though Carlsburg is located in Greifswald County (Kreis) it is only 12 km from Anclam, while it is 25 km from Greifswald. This may explain why Julius attended the Gymnasium in Anclam.

This had an effect on Worpitzky's mathematical development. Lampe suggests t h a t it made Worpitzky more independent and possibly somewhat stubborn on the one hand, but inadequately familiar with the literature of the subjects he studied on the other hand. Cantor, the mathematical historian, also was critical of Grunert (in his biography of Grunert in the "Allgemeine Deutsche Biographie") while admitting the quantity of his output he was doubtful of the lasting 29 importance of his work. There may also have been a scarcity of able fellow students for Worpitzky to interact with and measure himself against at Greifswald in those days.

75-92) Hertzer (1831-08, 55, 65; Prof. 71, festeStelte 75-07) H. Weber (1842-13, oP 83-84) P. Du Bois-Reymond (1831-89, Dr 59 UB, oP 84-89) Lampe (1840-t8, Dr 64 UB, oP 89-18) 37 W. Stahl (1846-94, oP 92-94) Hettner (1854-14, ) Buka (1852-96, Pd 79, Doz. , Prof. 71) 5. W o r p i t z k y in B e r l i n (1862-95). When Worpitzky returned to Berlin in '62 he joined, as we have already mentioned, Schellbach's seminar from fall '62 to Easter '63. While there he helped with Schellbach's book "Elliptische Integrale and Thetafunctionen" which appeared in '64.

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