Please use this identifier to cite or link to this item: http://hdl.handle.net/10125/25932

Linear Operators and the Distribution of Zeros of Entire Functions

File Description SizeFormat 
PhD_2007_Piotrowski_r.pdfVersion for non-UH users. Copying/Printing is not permitted594.48 kBAdobe PDFView/Open
PhD_2007_Piotrowski_uh.pdfVersion for UH users594.48 kBAdobe PDFView/Open

Item Summary

Title: Linear Operators and the Distribution of Zeros of Entire Functions
Authors: Piotrowski, Andrzej
Advisor: Csordas, George L.
Keywords: Linear operators.
Hermite polynomials.
Issue Date: 2007
Publisher: University of Hawaii at Manoa
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.
Description: viii, 178 leaves, bound ; 29 cm.
Thesis (Ph. D.)--University of Hawaii at Manoa, 2007.
Pages/Duration: viii, 178 leaves
URI/DOI: http://hdl.handle.net/10125/25932
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.
Appears in Collections:Ph.D. - Mathematics
Ph.D. Dissertations- Mathematics Department



Items in ScholarSpace are protected by copyright, with all rights reserved, unless otherwise indicated.