2022/08/31 by S. Sivaprasad Kumar, Kumar, S. Sivaprasad, Neha Verma +1
Mathematics · Materials Science · #Analytic and geometric function theory #Polymer Synthesis and Characterization
paper · pdf · doi:10.48550/arxiv.2208.14644
In the present investigation, we consider a subclass of starlike functions associated with a petal shaped domain, recently introduced and defined by S*ρ:=\f∈ A:zf'(z)/f(z) \prec 1+\sinh-1 z\. We establish certain coefficient related problems such as sharp first five coefficient bounds along with sharp second and third order Hankel determinants for S*ρ. Also, sixth and seventh coefficient bounds are estimated to obtain the fourth Hankel determinant bound for the same class.