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SUFFICIENT CONDITIONS FOR STARLIKENESS
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 Title & Authors
SUFFICIENT CONDITIONS FOR STARLIKENESS
RAVICHANDRAN, V.; SHARMA, KANIKA;
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 Abstract
We obtain the conditions on so that implies p(z) (2+z)/(2-z), , , (<1), exp(z) or . Similar results are obtained by considering the expressions , and . These results are applied to obtain sufficient conditions for normalized analytic function f to belong to various subclasses of starlike functions, or to satisfy the condition < 1 or < 1 or zf`(z)/f(z) lying in the region bounded by the cardioid $(9x^2+9y^2-18x+5)^2-16(9x^2+9y^2-6x+1)
 Keywords
convex and starlike functions;lemniscate of Bernoulli;subordination;cardioid;
 Language
English
 Cited by
 References
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