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

232 citations · 512 across the 60 of their papers we have counts for

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10 papers · 1 filter

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★ 16 cited

Coefficient, Distortion and Growth Inequalities for Certain Close-to-Convex Functions

Nak Eun Cho, Oh Sang Kwon, V. Ravichandran

In the present investigation, certain subclasses of close-to-convex functions are investigated. In particular, we obtain an estimate for the Fekete-Szegö functional for functions b…

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

Radii of Starlikeness and Convexity of Analytic Functions Satisfying Certain Coefficient Inequalities

V. Ravichandran

For , the sharp radii of starlikeness and convexity of order for functions of the form whose Taylor coefficients satisfy the conditi…

math.CV2011★ 1 cited

Subordination and superordination for multivalent functions defined by linear operators

S. Sivaprasad Kumar, Virendra Kumar, V. Ravichandran

In this paper, certain linear operators defined on -valent analytic functions have been unified and for them some subordination and superordination results as well as the corres…