Distance between a maximum point and the zero set of an entire function

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buir.advisorKaptanoğlu, Turgay
dc.contributor.authorÜreyen, Adem Ersin
dc.date.accessioned2016-07-01T11:08:42Z
dc.date.available2016-07-01T11:08:42Z
dc.date.issued2006
dc.departmentDepartment of Mathematicsen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.description.abstractWe obtain asymptotical bounds from below for the distance between a maximum modulus point and the zero set of an entire function. Known bounds (Macintyre, 1938) are more precise, but they are valid only for some maximum modulus points. Our bounds are valid for all maximum modulus points and moreover, up to a constant factor, they are unimprovable. We consider entire functions of regular growth and obtain better bounds for these functions. We separately study the functions which have very slow growth. We show that the growth of these functions can not be very regular and obtain precise bounds for their growth irregularity. Our bounds are expressed in terms of some smooth majorants of the growth function. These majorants are defined by using orders, types, (strong) proximate orders of entire functions.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityÜreyen, Adem Ersinen_US
dc.format.extent72 leavesen_US
dc.identifier.itemidBILKUTUPB100942
dc.identifier.urihttp://hdl.handle.net/11693/29916
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEntire functionen_US
dc.subjectMaximum modulus pointen_US
dc.subjectZero seten_US
dc.subjectOrderen_US
dc.subjectTypeen_US
dc.subjectProximate orderen_US
dc.subjectRegular growthen_US
dc.subject.lccQA353.E5 U749 2006en_US
dc.subject.lcshFunctions, Entire.en_US
dc.titleDistance between a maximum point and the zero set of an entire functionen_US
dc.typeThesisen_US

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