张兆霞, 刘名生. 涉及Dziok-Srivastava算子的某些多叶解析函数子类的性质[J]. 华南师范大学学报(自然科学版), 2013, 45(2).
引用本文: 张兆霞, 刘名生. 涉及Dziok-Srivastava算子的某些多叶解析函数子类的性质[J]. 华南师范大学学报(自然科学版), 2013, 45(2).
Liu Ming-Sheng, . Properties of Certain Subclasses of Multivalent Analytic Functions Involving the Dziok-Srivastava Operator[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2).
Citation: Liu Ming-Sheng, . Properties of Certain Subclasses of Multivalent Analytic Functions Involving the Dziok-Srivastava Operator[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2).

涉及Dziok-Srivastava算子的某些多叶解析函数子类的性质

Properties of Certain Subclasses of Multivalent Analytic Functions Involving the Dziok-Srivastava Operator

  • 摘要: 研究了几类多叶解析函数的子类 S_p,k^l,m(\alpha_1;h) , K_p,k^l,m(\alpha_1;h), K_p,k^l,m(\lambda;\alpha_1;h), C_p,k^l,m(\alpha_1;h), QC_p,k^l,m(\lambda; \alpha_1;h)的一些性质,得到子类 C_p,k^l,m(\alpha_1;h)的充分条件以及 与其他子类有关的包含性质,积分表示和卷积性质。

     

    Abstract: The various properties of several subclasses S_p,k^l,m(\alpha_1;h),\\ K_p,k^l,m(\alpha_1;h), K_p,k^l,m(\lambda;\alpha_1;h), C_p,k^l,m(\alpha_1;h) and QC_p,k^l,m(\lambda;\alpha_1;h) of multivalent analytic functions are investigated. Sufficient condition for the subclass C_p,k^l,m(\alpha_1;h) is provided, and the inclusion relationships, integral representations, convolution properties for other function classes are proved.

     

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