Sufficient Conditions for Janowski Starlikeness
2007 ◽
Vol 2007
◽
pp. 1-7
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LetA,B,D,E∈[−1,1]and letp(z)be an analytic function defined on the open unit disk,p(0)=1. Conditions onA,B,D, andEare determined so that1+βzp'(z)being subordinated to(1+Dz)/(1+Ez)implies thatp(z)is subordinated to(1+Az)/(1+Bz). Similar results are obtained by considering the expressions1+β(zp'(z)/p(z))and1+β(zp'(z)/p2(z)). These results are then applied to obtain sufficient conditions for analytic functions to be Janowski starlike.
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2016 ◽
Vol 24
(2)
◽
pp. 127-136
Keyword(s):
2021 ◽
Vol 7
(2)
◽
pp. 312-323