Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part
By considering a $p-$valent Bazilevi\v{c} function in the open unit disk$\triangle$ which maps $\triangle$ onto the strip domain $w$ with$p\alpha < \Re\, w < p \beta,$ we estimate bounds of coefficients and solve Fekete-Szeg\"{o} problem forfunctions in this class.\\
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2016-06-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/22655 |
| _version_ | 1818496218274201600 |
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| author | O. S. Babu C. Selvaraj S. Logu Gangadharan Murugusundaramoorthy |
| author_facet | O. S. Babu C. Selvaraj S. Logu Gangadharan Murugusundaramoorthy |
| author_sort | O. S. Babu |
| collection | DOAJ |
| description | By considering a $p-$valent Bazilevi\v{c} function in the open unit disk$\triangle$ which maps $\triangle$ onto the strip domain $w$ with$p\alpha < \Re\, w < p \beta,$ we estimate bounds of coefficients and solve Fekete-Szeg\"{o} problem forfunctions in this class.\\ |
| first_indexed | 2024-12-10T18:30:34Z |
| format | Article |
| id | doaj.art-5fad3b5a45d64e4bb094cb2bf2df2745 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-12-10T18:30:34Z |
| publishDate | 2016-06-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-5fad3b5a45d64e4bb094cb2bf2df27452022-12-22T01:37:57ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882016-06-01342637310.5269/bspm.v34i2.2265512479Coefficient estimate of p-valent Bazilevic functions with a bounded positive real partO. S. Babu0C. Selvaraj1S. Logu2Gangadharan Murugusundaramoorthy3Dr. Ambedkar Govt. Arts College Department of MathematicsPresidency College (Autonomous) Department of MathematicsPresidency College (Autonomous) Department of MathematicsVIT University School of Advanced Sciences,By considering a $p-$valent Bazilevi\v{c} function in the open unit disk$\triangle$ which maps $\triangle$ onto the strip domain $w$ with$p\alpha < \Re\, w < p \beta,$ we estimate bounds of coefficients and solve Fekete-Szeg\"{o} problem forfunctions in this class.\\http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/22655Analytic functionunivalent function$p-$ valent functionstarlike functionBazilevi\v{c} functionsubordinationcoefficient estimateFekete-Szeg\"{o} problem |
| spellingShingle | O. S. Babu C. Selvaraj S. Logu Gangadharan Murugusundaramoorthy Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part Boletim da Sociedade Paranaense de Matemática Analytic function univalent function $p-$ valent function starlike function Bazilevi\v{c} function subordination coefficient estimate Fekete-Szeg\"{o} problem |
| title | Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part |
| title_full | Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part |
| title_fullStr | Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part |
| title_full_unstemmed | Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part |
| title_short | Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part |
| title_sort | coefficient estimate of p valent bazilevic functions with a bounded positive real part |
| topic | Analytic function univalent function $p-$ valent function starlike function Bazilevi\v{c} function subordination coefficient estimate Fekete-Szeg\"{o} problem |
| url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/22655 |
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