Inaug.-diss.--Uppsala. / Extra t.p., with thesis statement, inserted.

Thesis (M. Phil.)--University of Hong Kong, 1995. / Includes bibliographical references (leaves 67-69).

Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 107-110).

Thesis (M.A.)--Boston University / Solution of the spherical wave equation for traveling waves leads to the equation of Bessel polynomials. A relation of these polynomials to the Bessel function of order half an odd integer is presented by using Lommel' s expression of Bessel functions by an integral of the Poisson type. Also a method devised for polynomials of hypergeometric type is applied in obtaining recurrence relations.

If R is a field on which all (non-archimedean) valuations are known, then all valuations on R[x], where x is transcendental over R , are also known. Ostrowski described such valuations of R[x] by means of pseudo-convergent sequences in the algebraic completion of A of R . MacLane later showed that if all valuations of R are discrete, then any valuation V of R [x] can be represented by certain "key" polynomials in R [x]. The present paper exhibits the connection between these two treatments. This is achieved by first determining keys for the valuation which a pseudo-convergent sequence defines on A[x], and then relating these keys to those for V . / Science, Faculty of / Mathematics, Department of / Graduate

No abstract included. / Science, Faculty of / Mathematics, Department of / Graduate

The main result of this paper is due to Albert Edrei and is concerned with power series having partial sums with zeros in a half-pane. Edrei's proof is both ingenious and well-contrived and is deserving of careful perusal. We shall compare Edrei's Theorem with a part of a theorem due to George Polya. / Advisor: James R. Snover, Professor Directing Paper. / Typescript. / "January, 1960." / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Includes bibliographical references (leaf 30).

This study involves the ultraspherical polynomials, the Legendre polynomials, the Tchebichef polynomials of the first kind, and the Tchebichef polynomials of the second kind.

No description available.

A research report submitted to the Faculty of Science of the University of the Witwatersrand, in partial fufillment of the degree of Master of Science, Johannesburg 1991. / Orthogonal polynomials have had a long history. They have featured in the work of Legendre on planetary motion, continued fractions of Stieltjes, mechanical quadrature of Gauss etc. After the publication of 'Orthogonal Polynomials' by Gabor Szego in 1938 relatively little was published on orthogonal polynomials. This changed in the 1970's when increased interest in approximation theory brought about by the incredible upsurge in the use of the computer in the sciences occurred. [Abbreviated Abstract. Open document to view full version] / MT2017