Shamani Supramaniam

activity

20112020

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

232 citations · 243 across the 6 of their papers we have counts for

collaborators

Showing 2012 · math.CVShow all

3 papers · 2 filters

math.CV2012★ 8 cited

Applications of differential subordination for functions with fixed second coefficient to geometric function theory

Lee See Keong, V. Ravichandran, Shamani Supramaniam

The theory of first-order differential subordination developed by Miller and Mocanu was recently extended to functions with fixed initial coefficient by R. M. Ali, S. Nagpal and V.…

math.CV2012

Close-to-convexity and starlikeness of analytic functions

Lee See Keong, V. Ravichandran, Shamani Supramaniam

For functions $f (z) = z^{p} + a_{n + 1} z^{p + 1} + ...$ defined on the open unit disk, the condition $ℜ (f^{'} (z) / z^{p - 1}) > 0$ is sufficient for close-to-convexity of $f$ . By making use of this…

math.CV2012★ 1 cited

Initial Coefficients of Bi-univalent Functions

See Keong Lee, V. Ravichandran, Shamani Supramaniam

An analytic function $f$ defined on the open unit disk $D = {z : ∣ z ∣ < 1}$ is bi-univalent if the function $f$ and its inverse $f^{- 1}$ are univalent in $D$ . Estimate…