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20112022
most citedCoefficient estimates for bi-univalent Ma-Minda starlike and convex functions

232 citations · 476 across the 15 of their papers we have counts for

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Showing 2011 · math.CVShow all

6 papers · 2 filters

math.CV2011★ 15 cited

Coefficient Inequalities for Starlikeness and Convexity

Rosihan M. Ali, Moradi Nargesi Mahnaz, V. Ravichandran

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 is determined so that is either star…

math.CV2011★ 2 cited

Inclusion Criteria for Subclasses of Functions and Gronwall's Inequality

Rosihan M. Ali, Mahnaz M. Nargesi, V. Ravichandran +1

A normalized analytic function f is shown to be univalent in the open unit disk D if its second coefficient is sufficiently small and relates to its Schwarzian derivative through a…

math.CV2011★ 89 cited

Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane

Rosihan M. Ali, Naveen Jain, V. Ravichandran

A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate…

math.CV2011★ 2 cited

A first-order differential double subordination with applications

Rosihan M. Ali, Nak Eun Cho, Oh Sang Kwon +1

Let and belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normaliz…

math.CV2011★ 232 cited

Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

Rosihan M. Ali, Lee See Keong, V. Ravichandran +1

Estimates on the initial coefficients are obtained for normalized analytic functions in the open unit disk with and its inverse satisfying the conditions that $z…

math.CV2011★ 26 cited

Uniformly Convex and Uniformly Starlike Functions

R. M. Ali, V. Ravichandran

A normalized univalent function is uniformly convex if it maps every circular arc contained in the open unit disk with center in it into a convex curve. This article surveys recent…