arXiv subjects

Moradi Nargesi Mahnaz

Publications and source records attributed to Moradi Nargesi Mahnaz.

2 recordsLinked to original sources

arXiv2012

Radius Constants for Analytic Functions with Fixed Second Coefficient

Let $f(z)=z+\sum_{n=2}^{\infty}a_nz^n$ be analytic in the unit disk with second coefficient $a_2$ satisfying $|a_2|=2b$, $0\leq b\leq1$. Sharp radius of Janowski starlikeness and other radius constants are obtained when $|a_n|\leq cn+d$ ($c,d\geq0$) or $|a_n|\leq c/n$ ($c>0$) for $n\geq3$.

math.CV↗

arXiv2011

Coefficient Inequalities for Starlikeness and Convexity

For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq β, sharp bound on $β$ is determined so that $f$ is either starlike or convex of order $α$. Several other coefficient inequalities related to certain subclasses are also investigated.

math.CV↗