TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS
Let ${\mathcal{S}}$ denote the class of analytic and univalent functions in $\mathbb{D}:=\{z\in \mathbb{C}:|z|
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 2018-04, Vol.97 (2), p.253-264 |
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| container_title | Bulletin of the Australian Mathematical Society |
| container_volume | 97 |
| creator | ALI, MD FIROZ THOMAS, D. K. VASUDEVARAO, A. |
| description | Let
${\mathcal{S}}$
denote the class of analytic and univalent functions in
$\mathbb{D}:=\{z\in \mathbb{C}:|z| |
| doi_str_mv | 10.1017/S0004972717001174 |
| format | Article |
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${\mathcal{S}}$
denote the class of analytic and univalent functions in
$\mathbb{D}:=\{z\in \mathbb{C}:|z|<1\}$
which are of the form
$f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$
. We determine sharp estimates for the Toeplitz determinants whose elements are the Taylor coefficients of functions in
${\mathcal{S}}$
and certain of its subclasses. We also discuss similar problems for typically real functions.</description><identifier>ISSN: 0004-9727</identifier><identifier>EISSN: 1755-1633</identifier><identifier>DOI: 10.1017/S0004972717001174</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Applied mathematics ; Convex analysis ; Mathematical analysis</subject><ispartof>Bulletin of the Australian Mathematical Society, 2018-04, Vol.97 (2), p.253-264</ispartof><rights>2018 Australian Mathematical Publishing Association Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c317t-2c35b23f9b9a63e1abe990daf69262563f159cb0a2a16af4fe80283b50b332003</citedby><cites>FETCH-LOGICAL-c317t-2c35b23f9b9a63e1abe990daf69262563f159cb0a2a16af4fe80283b50b332003</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0004972717001174/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,776,780,27901,27902,55603</link.rule.ids></links><search><creatorcontrib>ALI, MD FIROZ</creatorcontrib><creatorcontrib>THOMAS, D. K.</creatorcontrib><creatorcontrib>VASUDEVARAO, A.</creatorcontrib><title>TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS</title><title>Bulletin of the Australian Mathematical Society</title><addtitle>Bull. Aust. Math. Soc</addtitle><description>Let
${\mathcal{S}}$
denote the class of analytic and univalent functions in
$\mathbb{D}:=\{z\in \mathbb{C}:|z|<1\}$
which are of the form
$f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$
. We determine sharp estimates for the Toeplitz determinants whose elements are the Taylor coefficients of functions in
${\mathcal{S}}$
and certain of its subclasses. We also discuss similar problems for typically real functions.</description><subject>Applied mathematics</subject><subject>Convex analysis</subject><subject>Mathematical analysis</subject><issn>0004-9727</issn><issn>1755-1633</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1UEtOwzAQtRBIlMIB2EViHfDYcZwso9ShltIENS4IFkROGqNWlBanXXAbzsLJSGglFojVzJv3GekhdAn4GjDwmwJj7IWccOAYA3DvCA2AM-aCT-kxGvS02_On6Kxtlx1ijAQD9KxycZdK9eSMhBLTicyiTBXOwzgvhCNSMRE9jKbCUWPhxLlIEhnLn2OeOFEWpY9Kxt0ycmaZvI_Sjvr6TGZZrGSeFefoxOjXtrk4zCGaJULFYzfNb2UcpW5NgW9dUlNWEWrCKtQ-bUBXTRjiuTZ-SHzCfGqAhXWFNdHga-OZJsAkoBXDFaUEYzpEV_vcjV2_75p2Wy7XO_vWvSwJD3jXiAdep4K9qrbrtrWNKTd2sdL2owRc9jWWf2rsPPTg0avKLuYvzW_0_65vwH9r1A</recordid><startdate>201804</startdate><enddate>201804</enddate><creator>ALI, MD FIROZ</creator><creator>THOMAS, D. K.</creator><creator>VASUDEVARAO, A.</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7XB</scope><scope>88I</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M2P</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>201804</creationdate><title>TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS</title><author>ALI, MD FIROZ ; THOMAS, D. K. ; VASUDEVARAO, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c317t-2c35b23f9b9a63e1abe990daf69262563f159cb0a2a16af4fe80283b50b332003</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Applied mathematics</topic><topic>Convex analysis</topic><topic>Mathematical analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>ALI, MD FIROZ</creatorcontrib><creatorcontrib>THOMAS, D. K.</creatorcontrib><creatorcontrib>VASUDEVARAO, A.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Bulletin of the Australian Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>ALI, MD FIROZ</au><au>THOMAS, D. K.</au><au>VASUDEVARAO, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS</atitle><jtitle>Bulletin of the Australian Mathematical Society</jtitle><addtitle>Bull. Aust. Math. Soc</addtitle><date>2018-04</date><risdate>2018</risdate><volume>97</volume><issue>2</issue><spage>253</spage><epage>264</epage><pages>253-264</pages><issn>0004-9727</issn><eissn>1755-1633</eissn><abstract>Let
${\mathcal{S}}$
denote the class of analytic and univalent functions in
$\mathbb{D}:=\{z\in \mathbb{C}:|z|<1\}$
which are of the form
$f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$
. We determine sharp estimates for the Toeplitz determinants whose elements are the Taylor coefficients of functions in
${\mathcal{S}}$
and certain of its subclasses. We also discuss similar problems for typically real functions.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0004972717001174</doi><tpages>12</tpages></addata></record> |
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| identifier | ISSN: 0004-9727 |
| ispartof | Bulletin of the Australian Mathematical Society, 2018-04, Vol.97 (2), p.253-264 |
| issn | 0004-9727 1755-1633 |
| language | eng |
| recordid | cdi_proquest_journals_2787011414 |
| source | Cambridge University Press Journals Complete |
| subjects | Applied mathematics Convex analysis Mathematical analysis |
| title | TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS |
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