Properties of analytic solutions of a differential equation

Author
M. M. Sheremeta1, Yu. S. Trukhan2
Lviv Ivan Franko National University, Lviv, Ukraine
Abstract
For an analytic in the unit disk $\{z\colon \,|z|\le1\}$ solution of the differential equation $z(z-1) w''+\beta_1 z w'+\gamma_2w=0$ the close-to-convexity, possible growth and the $l$-index boundedness are investigated.
Keywords
differential equation; close-to-convexity; l-index boundedness
DOI
doi:10.30970/ms.52.2.138-143
Reference
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Pages
138-143
Volume
52
Issue
2
Year
2019
Journal
Matematychni Studii
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