On the existence of meromorphically starlike and meromorphically convex solutions of Shahs differential equation |
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Author |
kseniya_dosyn@gmail.com, m_m_sheremeta@list.ru
Ivan Franko National University of Lviv
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Abstract |
We establish conditions under which the differential equation of S.~Shah $z^2w''+(\beta_{0}z^2+\beta_1{z}) w'+(\gamma_{0}z^2+\gamma_{1}z+\gamma_{2})w=0$ has meromorphically starlike and meromorphically convex solutions of order $\alpha
\in [0,1)$.
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Keywords |
starlike function; convex function; differential equation
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Reference |
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Russian)
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Pages |
44-53
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Volume |
42
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Issue |
1
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Year |
2014
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Journal |
Matematychni Studii
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Full text of paper | |
Table of content of issue |