一类由积分算子定义的p-叶解析函数的性质

基金项目:

广东省自然科学基金博士启动项目(2016A030310106);安徽省教育厅高校自然科学基金项目(KJ2018A0833)

详细信息

Properties of Certain Subclasses of p-Valent Analytic Functions Defined by an Integral Operator

1.
(1. Department of Mathematics Teaching,Guangzhou Civil Aviation College,Guangzhou 510403,China;
2.
2. Department of Basic Courses,Chuzhou Vocational and Technical College,Chuzhou 239000,China)

摘要: 利用卷积和广义Hurwitz-Lerch 函数（z,s,a）定义了广义Srivastava-Attiya 积分算子,研究了一些由广义Srivastava-Attiya 积分算子定义的p-叶解析函数类,证明了它们的一些包含关系以及积分保持的性质.
- 解析函数 /
- 多叶函数 /
- Hurwitz-Lerch ζ 函数 /
- Hadamard 积（卷积） /
- 广义Srivastava-Attiya 算子
Abstract: The generalized Srivastava-Attiya integral operator is defined by convolution and Generalized Hurwitz-Lerch zeta function (z,s,a). Certain new subclasses of p-valent analytic functions involving the generalized Sri-vastava-Attiya integral operator are introduced and studied. Some inclusion relations along with integral preserving properties of these classes are obtained.
- analytic functions /
- multivalent functions /
- the Hurwitz-Lerch zeta function /
- Hadamard product (or convolution) /
- generalized Srivastava-Attiya operator