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Pure Mathematics 2012
p-叶亚纯函数的新子类
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Abstract:
本文运用线性算子L p (a,c)和从属关系定义了含绝对值形式的p-叶亚纯函数![\"\"](\"Edit_425c605f-c1ae-4732-8fce-765349ab3337.bmp\")
的一个新子类![\"\"](\"Edit_595e7f1a-e4e6-40b1-b3b5-9ba678ddbcf9.bmp\")
。讨论了该函数类的系数不等式，包含关系，极值定理以及凸半径和星象半径。本文将已有的某些单叶亚纯函数及p-叶亚纯函数的相关结果推广至p-叶亚纯数子类上![\"\"](\"Edit_95eb3121-f3d8-4394-a7f1-94a99ca4cf5d.bmp\")
。
In this paper, we introduce a subclass ![\"\"](\"Edit_087daef9-0747-46c0-869a-0e9bc5250fa2.bmp\")
of the class by use of Hadamard operator L p (a,c) and subordination principle. The main objective of this paper is to provide coefficient inequality, inclusion properties, extreme points, convexity and starlike radius of this class. In this paper, we extend relevant results of univalent meromorphic functions and p-valent meromorphic functions to the subclass ![\"\"](\"Edit_ee7e21cf-ac5b-4f8f-9190-094bbabfdf6b.bmp\")
本文运用线性算子L p (a,c)
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