27 citations · 56 across the 12 of their papers we have counts for
12 papers · 1 filter
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…
Bounds for the Second Hankel Determinant of Certain Univalent Functions
Lee See Keong, V. Ravichandran, Shamani Supramaniam
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certa…
Univalence and convexity in one direction of the convolution of harmonic mappings
Sumit Nagpal, V. Ravichandran
Let denote the class of all complex-valued harmonic functions in the open unit disk normalized by , and let be the…
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.…
Construction of subclasses of univalent harmonic mappings
Sumit Nagpal, V. Ravichandran
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univale…
Second-order differential subordinations for analytic functions with fixed initial coefficient
Rosihan M. Ali, Sumit Nagpal, V. Ravichandran
Functions with fixed initial coefficient have been widely studied. A new methodology is proposed in this paper by making appropriate modifications and improvements to the theory of…