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11	Über die asymptotische Darstellung der Integrale linearer Differenzen-Gleichungen durch Potenzreihen Erb, Theodor, January 1913 (has links) Thesis (doctoral)--K. Ludwig-Maximilians-Universität zu München, 1913. / Vita.
12	Untersuchungen zur Theorie der Folgen analytischer Funktionen Jentzsch, Robert, January 1900 (has links) Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1914. / Vita. Includes bibliographical references.
13	Zur Konvergenz der trigonometrischen Reihen einschliesslich der Potenzreihen auf dem Konvergenzkreise / Neder, Ludwig, January 1919 (has links) Thesis (doctoral)--Georg-August-Universität zu Göttingen, 1919. / Cover title. Vita. Includes bibliographical references (p. [47]).
14	On Puiseux series and resolution graphs Neuerburg, Kent M. January 1998 (has links) Thesis (Ph. D.)--University of Missouri-Columbia, 1998. / Typescript. Vita. Includes bibliographical references (leaf 93). Also available on the Internet. Power series rings. Newton diagrams.
15	Power series in P-adic roots of unity Neira, Ana Raissa Bernardo 28 August 2008 (has links) Not available / text Power series p-adic numbers
16	Power series in P-adic roots of unity Neira, Ana Raissa Bernardo. January 2002 (has links) (PDF) Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references. Available also from UMI Company. Power series. p-adic numbers.
17	A Power Series Solution of a Certain Differential Equation Juszli, Frank L. January 1950 (has links) No description available. Mathematics Power series Differential equations
18	A Power Series Solution of a Certain Differential Equation Juszli, Frank L. January 1950 (has links) No description available. Mathematics Power series Differential equations
19	On the convergence and analytical properties of power series on non-Archimedean field extensions of the real numbers Grafton, William 19 September 2016 (has links) n this thesis the analytic properties of power series over a class of non-Archimedean field extensions of the real numbers, a representative of which will be denoted by F, are investigated. In Chapter 1 we motivate the interest in said fields by recalling work done by K. Shamseddine and M. Berz . We first review some properties of well-ordered subsets of the rational numbers which are used in the construction of such a field F. Then, we define operations + and * which make F a field. Then we define an order under which F is non-Archimedean with infinitely small and infinitely large elements. We embed the real numbers as a subfield; and the embedding is compatible with the order. Then, in Chapter 2, we define an ultrametric on F which induces the same topology as the order on the field. This topology will allow us to define continuity and differentiability of functions on F which we shall show are insufficient conditions to ensure intermediate values, extreme values, et cetera. We shall study convergence of sequences and series and then study the analytical properties of power series, showing they have the same smoothness properties as real power series; in particular they satisfy the intermediate value theorem, the extreme value theorem and the mean value theorem on any closed interval within their domain of convergence. / October 2016 Mathematics Analysis non-Archimedean Power series Ultrametric
20	Prime ideals in low-dimensional mixed polynomial/power series rings Eubanks-Turner, Christina. January 1900 (has links) Thesis (Ph.D.)--University of Nebraska-Lincoln, 2008. / Title from title screen (site viewed Sept. 18, 2008). PDF text: v, 109 p. : ill. ; 459 K. UMI publication number: AAT 3303652. Includes bibliographical references. Also available in microfilm and microfiche formats.

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