Linear Operators and the Distribution of Zeros of Entire Functions

dc.contributor.advisor	Csordas, George
dc.contributor.author	Piotrowski, Andrzej
dc.contributor.department	Mathematics
dc.date.accessioned	2013-02-06T20:14:12Z
dc.date.available	2013-02-06T20:14:12Z
dc.date.issued	2007
dc.description.abstract	Motivated by the work of Pólya, Schur, and Turán, a complete characterization of multiplier sequences for the Hermite polynomial basis is given. Laguerre's theorem and a remarkable curve theorem due to Pólya are generalized. Sufficient conditions for the location of zeros in certain strips in the complex plane are determined. Results pertaining to multiplier sequences and complex zero decreasing sequences for other polynomial sets are established.
dc.description.degree	Ph.D.
dc.format.extent	viii, 178 pages
dc.identifier.uri	http://hdl.handle.net/10125/25932
dc.language	eng
dc.publisher	University of Hawaii at Manoa
dc.relation	Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics ; no. 4887
dc.rights	All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
dc.subject	Linear operators.
dc.subject	Hermite polynomials.
dc.title	Linear Operators and the Distribution of Zeros of Entire Functions
dc.type	Thesis
dc.type.dcmi	Text
local.identifier.callnumber	AC1 .H3 no.4887
local.thesis.degreelevel	PhD
local.thesis.department	Mathematics

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