On the existence of meromorphically starlike and meromorphically convex solutions of Shahs differential equation 

Author 
kseniya_dosyn@gmail.com, m_m_sheremeta@list.ru
Ivan Franko National University of Lviv

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 $\alpha
\in [0,1)$.

Keywords 
starlike function; convex function; differential equation

Reference 
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Pages 
4453

Volume 
42

Issue 
1

Year 
2014

Journal 
Matematychni Studii

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