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

Bappaditya Bhowmik () and Firdoshi Parveen ()
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Bappaditya Bhowmik: Indian Institute of Technology, Kharagpur
Firdoshi Parveen: Indian Institute of Technology, Kharagpur

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 3, 545-551

Abstract: Abstract 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.

Keywords: Univalent functions; meromorphic fuctions (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0202-7

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