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Elementare Beiträge zur neureren FunktionentheorieWiener, Friedrich Wilhelm. January 1911 (has links)
Thesis--Georg-August Universität zu Göttingen, 1911.
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Über die Diskontinuitätsbereiche der Gruppen aus linearen nicht infinitesimalen SubstitutionenWink, Albert. January 1909 (has links)
Thesis--Georg-August-Universität, 1908. / Lebenslauf.
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Beiträge zur Theorie der Hardy'schen FunktionenklassenKorte, B. H. January 1968 (has links)
Inaug. Diss.--Bonn. / Bibliography: p. 85-86.
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Bounded approximation by polynomials with restricted zerosChui, C. K. January 1967 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
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The elementary function theory of an hypercomplex variable and the theory of conformal mapping in the hyperbolic planeFox, Geoffrey Eric Norman January 1949 (has links)
The present thesis is based on a paper by Bencivenga. In this paper the author develops a theory of function for the dual and bireal variables. He constructs the "retto" and "hyperbolic" planes for the geometric representation of the dual and bireal variables, respectively, and establishes a type of conformal mapping of these planes into themselves by means of differentiable functions of the variable. Further, in each of these planes he proves the analogue for the Cauchy integral theorem of the complex plane. Finally he shows that functions of the dual and bireal variable which possess all derivatives at a given point of the plane may be expanded in a Taylor series about that point. In the first chapter we give a summary of this paper.
Bencivenga’s dual and bireal number systems, and also the complex number system, are two-dimensional cases of the ɳ - dimensional associative, commutative linear algebra with unit element. In chapter II we generalize Bencivenga's function theory to functions over the above mentioned linear. An important class of results from the theory of functions of a complex variable are not generalizable, since they depend on the field properties peculiar to the complex algebra.
In chapter III we undertake a detailed study of the hyperbolic plane with particular reference to the conformal properties of differentiable functions of the bireal variable, as a special case of conformal transformation of the hyperbolic plane, we study the bilinear transformation. We find that the rectangular hyperbola is the geometrical form which is invariant under this transformation of the hyperbolic plane. Singularities play a larger role in this theory than in the case of the analgous transformation theory of the complex plane. / Science, Faculty of / Mathematics, Department of / Graduate
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Compactness of Hankel Operators with Continuous Symbols on Domains in ℂ<sup>2</sup>Clos, Timothy George 18 October 2017 (has links)
No description available.
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On Ilieff's conjecture and related problemsGacs, Frank. January 1970 (has links)
No description available.
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Multi-population genetic algorithm for the mapping of landscape of complex function /Guo, Yunbo. January 2009 (has links)
Includes bibliographical references (p. 62).
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Über die konforme Abbildung gewisser nichtsymmetrischer unendlich-vielfach zusammenhängender schlichter Bereiche auf KreisbereicheGeorgi, Karl, January 1915 (has links)
Thesis (doctoral)--Universität Jena, 1915. / Vita. Includes bibliographical references.
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A study of sigma-monogenic functionsCain, George Lee 05 1900 (has links)
No description available.
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