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CONVEX CLASS OF STARLIKE FUNCTIONS
http://hdl.handle.net/10131/5495
http://hdl.handle.net/10131/549513849554-e9ee-4c51-8482-d5a10f545f5c
名前 / ファイル | ライセンス | アクション |
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YMJ_32_N1-2_1984_055-059.pdf (346.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | CONVEX CLASS OF STARLIKE FUNCTIONS | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
著者 |
Gupta, V. P.
× Gupta, V. P. |
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著者所属 | ||||||
National Council of Educational Research and Training (N.C.E.R.T.), Sri Aurbindo Marg, New Delhi-110016, India | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $S$ denote the class of functions of the form $f(z)=z-¥sum_{n=2}^{¥infty}|a_{n}|z^{n}$ that are analytic and univalent in the unit disk $U$. Let $S(¥alpha, ¥beta)$ and $K(¥alpha, ¥beta)$ denote the subclasses of $S$ consisting respectively, of starlike and close-to-convex functions of order $¥alpha(0¥leqq¥alpha<1)$ and type $¥beta(0<¥beta¥leqq 1)$ . In this Paper, we obtain a relationship between classes $S(¥alpha, ¥beta)$ and $K(¥alpha, ¥beta)$ by defining a subclass $B(¥alpha, ¥beta)$ of $K(¥alpha, ¥beta)$ . Coefficient estimates, distortion and covering theorems are obtained for the class $B(¥alpha, ¥beta)$ . The class $B(a, ¥beta)$ is convex. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 32, 号 1&2, p. 55-59, 発行日 1984 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University |