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On polynomials bounded at an infinity of pointsHall, Tord. January 1950 (has links)
Inaug.-diss.--Uppsala. / Extra t.p., with thesis statement, inserted.
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Iterated construction of irreducible polynomials over a finite field /Chu, Wai-man. January 1994 (has links)
Thesis (M. Phil.)--University of Hong Kong, 1995. / Includes bibliographical references (leaves 67-69).
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Some basic hypergeometric polynomials arising from finite classical groupsStanton, Dennis Warren. January 1900 (has links)
Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 107-110).
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Some recurrence relations for the Bessel polynomialsPoros, Demetrios J. January 1961 (has links)
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.
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Valuations of polynomial ringsMacauley, Ronald Alvin January 1951 (has links)
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
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The division transformation for matric polynomials with special reference to the quartic caseNiven, Ivan Morton January 1936 (has links)
No abstract included. / Science, Faculty of / Mathematics, Department of / Graduate
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On certain sequences of polynomials having zeros in a half-planeUnknown Date (has links)
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).
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The Ultraspherical PolynomialsMoore, John Bowman 08 1900 (has links)
This study involves the ultraspherical polynomials, the Legendre polynomials, the Tchebichef polynomials of the first kind, and the Tchebichef polynomials of the second kind.
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Asymptotics of general orthogonal polynomials for measures on the unit circle and [-1,1].Damelin, Steven Benjamin 20 February 2015 (has links)
No description available.
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Orthogonal polynomials and three-term recurrence relationsEngelbrecht, Kevin Peter January 1991 (has links)
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
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