A Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative Coefficients | Science Publications

American Journal of Applied Sciences

M.Z. Ahmad¹  Hiba F. Al-Janaby¹  Rabha W. Ibrahim¹ 

关键词: Meromorphic Function;    Multivalent Function;    Subordination;    Hadamard Product;   

DOI  :  10.3844/ajassp.2015.606.615

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

The paper aims to introduce a certainsubclass S^*_g(A,B,α,p,j) of the class Σ^*(p) of meromorphically multivalentfunctions with negative coefficients, defined by using the definitions ofHadamard product and subordination for two functions belong to the class Σ^*(p). We first investigate the geometriccharacterization property, giving the coefficient estimates for functions inthe class S^*_g(A,B,α,p,j). We also obtain the distortiontheorem, radii of meromorphically p-valent starlikeness and convexity of order(0≤γ<p), neighborhood property, partial sums, convolution properties aswell as integral operator and integral representation.

【 授权许可】

Unknown