Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions
Ma-Minda class (of starlike functions) consists of all normalized analytic functions $f$ on the unit disk for which the image of $zf'(z)/f(z)$ is contained in the some starlike region in the right-half plane. We obtain the best possible bounds on the second and third coefficient for the inverse...
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| creator | Naz, Adiba Kumar, Sushil Ravichandran, V |
| description | Ma-Minda class (of starlike functions) consists of all normalized analytic
functions $f$ on the unit disk for which the image of $zf'(z)/f(z)$ is
contained in the some starlike region in the right-half plane. We obtain the
best possible bounds on the second and third coefficient for the inverse
functions of functions in the Ma-Minda class. The bounds on the Fekete-Szeg\"o
functional and the second Hankel determinant of the inverse functions of the
functions belonging to the Ma-Minda class are also determined. Further, the
bounds on the first five coefficients of the inverse functions are investigated
for two particular subclasses of the Ma-Minda class. In addition, some radius
estimates associated with the two subclasses are also computed. |
| doi_str_mv | 10.48550/arxiv.1905.05413 |
| format | Article |
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functions $f$ on the unit disk for which the image of $zf'(z)/f(z)$ is
contained in the some starlike region in the right-half plane. We obtain the
best possible bounds on the second and third coefficient for the inverse
functions of functions in the Ma-Minda class. The bounds on the Fekete-Szeg\"o
functional and the second Hankel determinant of the inverse functions of the
functions belonging to the Ma-Minda class are also determined. Further, the
bounds on the first five coefficients of the inverse functions are investigated
for two particular subclasses of the Ma-Minda class. In addition, some radius
estimates associated with the two subclasses are also computed.</description><identifier>DOI: 10.48550/arxiv.1905.05413</identifier><language>eng</language><subject>Mathematics - Complex Variables</subject><creationdate>2019-05</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1905.05413$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1905.05413$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Naz, Adiba</creatorcontrib><creatorcontrib>Kumar, Sushil</creatorcontrib><creatorcontrib>Ravichandran, V</creatorcontrib><title>Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions</title><description>Ma-Minda class (of starlike functions) consists of all normalized analytic
functions $f$ on the unit disk for which the image of $zf'(z)/f(z)$ is
contained in the some starlike region in the right-half plane. We obtain the
best possible bounds on the second and third coefficient for the inverse
functions of functions in the Ma-Minda class. The bounds on the Fekete-Szeg\"o
functional and the second Hankel determinant of the inverse functions of the
functions belonging to the Ma-Minda class are also determined. Further, the
bounds on the first five coefficients of the inverse functions are investigated
for two particular subclasses of the Ma-Minda class. In addition, some radius
estimates associated with the two subclasses are also computed.</description><subject>Mathematics - Complex Variables</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpNj71OwzAUhb0woMIDMOEXSLDjn-SOKGqhUiWk0oEtutg3qtXiINut4O2BwMB0lnM-nY-xGylq3Rkj7jB9hHMtQZhaGC3VJXvpJxrH4ALFkvk08rInvo5nSpn46hRdCVPMHKPnW_ThlPkyl_CGheZ2T6lgiPy5YDqGw7_JFbsY8Zjp-i8XbLda7vrHavP0sO7vNxXaVlUKGmu1QpLOSvQOAbyz9hU6iaprPQBgq6QB9E0jSAprx9aBIdl0GlqtFuz2FzurDe_p-1v6HH4Uh1lRfQHlNku_</recordid><startdate>20190514</startdate><enddate>20190514</enddate><creator>Naz, Adiba</creator><creator>Kumar, Sushil</creator><creator>Ravichandran, V</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190514</creationdate><title>Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions</title><author>Naz, Adiba ; Kumar, Sushil ; Ravichandran, V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a673-3926643ae1c61adca99dc66b981a387d999a73159ad220e1066f7c95e12849743</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Complex Variables</topic><toplevel>online_resources</toplevel><creatorcontrib>Naz, Adiba</creatorcontrib><creatorcontrib>Kumar, Sushil</creatorcontrib><creatorcontrib>Ravichandran, V</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Naz, Adiba</au><au>Kumar, Sushil</au><au>Ravichandran, V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions</atitle><date>2019-05-14</date><risdate>2019</risdate><abstract>Ma-Minda class (of starlike functions) consists of all normalized analytic
functions $f$ on the unit disk for which the image of $zf'(z)/f(z)$ is
contained in the some starlike region in the right-half plane. We obtain the
best possible bounds on the second and third coefficient for the inverse
functions of functions in the Ma-Minda class. The bounds on the Fekete-Szeg\"o
functional and the second Hankel determinant of the inverse functions of the
functions belonging to the Ma-Minda class are also determined. Further, the
bounds on the first five coefficients of the inverse functions are investigated
for two particular subclasses of the Ma-Minda class. In addition, some radius
estimates associated with the two subclasses are also computed.</abstract><doi>10.48550/arxiv.1905.05413</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Complex Variables |
| title | Coefficients of the Inverse Functions and Radius Estimates of Certain Starlike Functions |
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