Starlike and convexity properties for p-valent solutions of the Shah differential equation
Journal Title: Математичні Студії - Year 2017, Vol 48, Issue 1
Abstract
The starlikeness and the convexity in the unit disc and the growth of an entire function f(z)=zp+∑∞n=p+1fnzn, p∈N, satisfying the differential equation z2w′′+(β0z2+β1z)w′+(γ0z2+γ1z+γ2)w=0 (β0,β1,γ0,γ1,γ2 are complex parameters) are studied.
Authors and Affiliations
Myroslav Sheremeta, Yuriy Trukhan
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