Email this article Elementary Considerations for Classes of Meromorphic Univalent Functions
- Authors: Ponnusamy S.1,2, Wirths K.-.3
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Affiliations:
- Department of Mathematics
- Indian Statistical Institute (ISI)
- Institut für Analysis und Algebra
- Issue: Vol 39, No 5 (2018)
- Pages: 713-716
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/202267
- DOI: https://doi.org/10.1134/S1995080218050128
- ID: 202267
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Abstract
In this articlewe consider functions meromorphic in the unit disk. We give an elementary proof for a condition that is sufficient for the univalence of such functions. This condition simplifies and generalizes known conditions. We present some typical problems of geometrical function theory and give elementary solutions in the case of the above functions.
About the authors
S. Ponnusamy
Department of Mathematics; Indian Statistical Institute (ISI)
Author for correspondence.
Email: samy@iitm.ac.in
India, Chennai, 600 036; Chennai
K. -J. Wirths
Institut für Analysis und Algebra
Email: samy@iitm.ac.in
Germany, Braunschweig, 38106
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