Generalizations of the area theorem for meromorphic univalent functions with nonzero pole

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• 作者：Bappaditya Bhowmik ; Firdoshi Parveen
• 关键词：Key wordsUnivalent functions ; meromorphic fuctions
• 刊名：Indian Journal of Pure and Applied Mathematics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：47
• 期：3
• 页码：545-551
• 全文大小：104 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mathematics
  Numerical Analysis
  
• 出版者：Springer India
• ISSN：0975-7465
• 卷排序：47

文摘

In this article, we consider meromorphic univalent functions f in the unit disc of the complex plane having a simple pole at z = α ∈ (0, 1) with nonzero residue b at z = α. In 1969, P.N. Chichra proved an area theorem for such functions. In this note, we generalize this theorem and prove an interesting consequence of this result.