Some Properties of Certain Subclass of Meromorphically Multivalent Functions Defined By Linear Operator | Science Publications

Journal of Mathematics and Statistics

M. Darus¹  F. Ghanim¹ 

关键词: Hypergeometric;    meromorphic;    hadamard product;    linear operator;   

DOI  :  10.3844/jmssp.2010.34.41

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others. The operator was indeed needed to create new ideas in the area of geometric function theory. Approach: The linear operator of meromorphic p-valent functions was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the linear operator aforementioned. Results: Having the operator, subordination theorems established by using standard concept of subordination and reduced to well-known results studied by various authors. The operator was then applied for fractional calculus and obtained new subordination theorem. Conclusion: Therefore, interesting operators could be obtained with some earlier results and standard methods.

【 授权许可】

Unknown