Linear Operators and the Distribution of Zeros of Entire Functions
Linear Operators and the Distribution of Zeros of Entire Functions
Date
2007
Authors
Piotrowski, Andrzej
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Advisor
Csordas, George L.
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University of Hawaii at Manoa
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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.
Thesis (Ph. D.)--University of Hawaii at Manoa, 2007.
Keywords
Linear operators.,
Hermite polynomials.
Citation
Extent
viii, 178 leaves
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Related To
Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics ; no. 4887
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