N. Cho

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math.CV2020

Sufficient conditions for strong starlikeness

Kanika Sharma, Nak Eun Cho, V. Ravichandran

Let $p$ be an analytic function defined on the open unit disc $D$ with $p (0) = 1$ and $0 < α \leq 1$ . The conditions on complex valued functions $C$ , $D$ and $E$ are obtained…

math.CV2013

Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli

S. Sivaprasad Kumar, Virendra Kumar, V. Ravichandran +1

Let -1\leq B<A\leq 1. Condition on β, is determined so that 1+βzp'(z)/p^k(z)\prec(1+Az)/(1+Bz)\;(-1<k\leq3) implies p(z)\prec \sqrt{1+z}. Similarly, condition on βis determined so…