| Mostafa ALBEHBAH,Maslina DARUS.Properties of Some Families of Meromorphic Multivalent Functions Associated with Generalized Hypergeometric Functions[J].数学研究及应用,2018,38(1):43~57 |
| Properties of Some Families of Meromorphic Multivalent Functions Associated with Generalized Hypergeometric Functions |
| Properties of Some Families of Meromorphic Multivalent Functions Associated with Generalized Hypergeometric Functions |
| 投稿时间：2017-02-22 修订日期：2017-06-12 |
| DOI：10.3770/j.issn:2095-2651.2018.01.004 |
| 中文关键词: Generalized hypergeometric function Hadamard product meromorphic functions neighborhoods |
| 英文关键词:Generalized hypergeometric function Hadamard product meromorphic functions neighborhoods |
| 基金项目:Supported by UKM (Grant No.GUP-2017-064). |
| 作者 | 单位 | | Mostafa ALBEHBAH | School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, DE, Bangi UKM, 43600, Malaysia | | Maslina DARUS | School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor, DE, Bangi UKM, 43600, Malaysia |
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| 中文摘要: |
| We introduce and study two subclasses $\Omega_{[\alpha_{1}]}(A,B,\lambda)$ and $\Omega^{+}_{[\alpha_{1}]}(A,B,\lambda)$ of meromorphic $p$-valent functions defined by certain linear operator involving the generalized hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class $\Omega^{+}_{[\alpha_{1}]}(\alpha,\beta,\gamma,\lambda)$. |
| 英文摘要: |
| We introduce and study two subclasses $\Omega_{[\alpha_{1}]}(A,B,\lambda)$ and $\Omega^{+}_{[\alpha_{1}]}(A,B,\lambda)$ of meromorphic $p$-valent functions defined by certain linear operator involving the generalized hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class $\Omega^{+}_{[\alpha_{1}]}(\alpha,\beta,\gamma,\lambda)$. |
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