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.
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References
P. N. Chichra, An area theorem for bounded univalent functions, Proc. Camb. Phil. Soc., 66 (1969), 317–321.
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The first author of this article would like to thank NBHM, DAE, India (Grant No. 2/48(20)/2012/NBHM(R.P.)/R&D II/14916) for its financial support.
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Bhowmik, B., Parveen, F. Generalizations of the area theorem for meromorphic univalent functions with nonzero pole. Indian J Pure Appl Math 47, 545–551 (2016). https://doi.org/10.1007/s13226-016-0202-7
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DOI: https://doi.org/10.1007/s13226-016-0202-7