On sections and tails of power series

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buir.advisorOstrovskii, Iossif V.
dc.contributor.authorZheltukhina, Natalya
dc.date.accessioned2016-01-08T18:23:24Z
dc.date.available2016-01-08T18:23:24Z
dc.date.issued2002
dc.descriptionAnkara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent University, 2002.en_US
dc.descriptionThesis (Ph.D.) -- Bilkent University, 2002.en_US
dc.descriptionIncludes bibliographical references leaves 88-91.en_US
dc.description.abstractThe thesis is devoted to the study of connections between properties of a power series and properties of its sections and tails. Power series having sections or tails with multiply positive coefficients are considered and their growth estimates are obtained. Our results strengthen and supplement previous results in this direction, in particular, the well-known P´olya theorem on power series with sections having only negative zeros. The asymptotic zero distribution of linear combinations of sections and tails of the Mittag-Leffler function E1/ρ of order ρ > 1 is studied. Our results generalize and supplement previous results in this direction, in particular, the well-known Szeg¨o result on the linear combinations of sections and tails of the exponential function and the A Edrei, E.B. Saff and R.S. Varga results on sections of E1/ρ.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T18:23:24Z (GMT). No. of bitstreams: 1 0002041.pdf: 478249 bytes, checksum: 90e77d9f080cdebf939b83d259c441a5 (MD5)en
dc.description.statementofresponsibilityZheltukhina, Natalyaen_US
dc.format.extentvi, 91 leaves, 30 cmen_US
dc.identifier.urihttp://hdl.handle.net/11693/15697
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLaurent seriesen_US
dc.subjectMittag-Leffler functionsen_US
dc.subjectm-times positive sequenceen_US
dc.subjectpower seriesen_US
dc.subjectsectionsen_US
dc.subjecttailsen_US
dc.subjectzero distributionen_US
dc.subject.lccQA331 .O5 2002en_US
dc.subject.lcshLaurent series.en_US
dc.subject.lcshFunction, Entire.en_US
dc.subject.lcshAnalytic functions.en_US
dc.subject.lcshPower series.en_US
dc.subject.lcshPade approximation.en_US
dc.titleOn sections and tails of power seriesen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelDoctoral
thesis.degree.namePh.D. (Doctor of Philosophy)

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