The distance between maximum modulus points and the zero set of an entire function

Simple item page
buir.supervisorOstrovskii, Lossif V.
dc.contributor.authorÜreyen, Adem Ersin
dc.date.accessioned2016-01-08T18:09:21Z
dc.date.available2016-01-08T18:09:21Z
dc.date.copyright2001
dc.date.issued2001
dc.descriptionAnkara : The Department of Mathematics and The Institute of Engineering and Sciences of Bilkent University, 2001.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2001.en_US
dc.descriptionIncludes bibliographical references (leave 33).en_US
dc.descriptionCataloged from PDF version of article.
dc.description.abstractWe obtain asymptotical bounds from below for the distance between a maximum modulus point and the zero set of an entire function of finite order. Known bounds(Macintyre,1938) are more precise but they are valid only for some maximum modulus points and can not be valid for all of them. Our bounds are valid for each maximum modulus point and are precise in some sense. Our method is based on Macintyre's ideas and on the techniques of proxi mate and strong proximate orders. Keywords: Entire function, Maximum modulus point, Zero set, Proximate order, Strong proximate order.
dc.description.provenanceMade available in DSpace on 2016-01-08T18:09:21Z (GMT). No. of bitstreams: 1 0001827.pdf: 309970 bytes, checksum: 657692e6de8eb8a1fa6c3ade39c97d7a (MD5)en
dc.description.statementofresponsibilityby Adem Ersin Üreyenen_US
dc.format.extent33 leaves ; 30 cm.en_US
dc.identifier.itemidBILKUTUPB100942
dc.identifier.urihttp://hdl.handle.net/11693/14841
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEntire function
dc.subjectMaximum modulus point
dc.subjectZero set
dc.subjectProximate order
dc.subjectStrong proximate order
dc.titleThe distance between maximum modulus points and the zero set of an entire functionen_US
dc.title.alternativeTüm bir fonksiyonun maksimum modulus noktaları ile sıfır kümesi arasındaki uzaklık
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
0001827.pdf
Size:
302.71 KB
Format:
Adobe Portable Document Format
Download

Collections

Graduate School of Engineering and Science