涉及Dziok-Srivastava算子的某些多叶解析函数子类的性质

基金项目:

教育部博士点基金项目

详细信息

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。
- 超几何函数.
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.
- Generalized hypergeometric function.