On the existence of meromorphically starlike and meromorphically convex solutions of Shah’s differential equation

Author
K. I. Dosyn, M. M. Sheremeta
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
44-53
Volume
42
Issue
1
Year
2014
Journal
Matematychni Studii
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