2024/12/06 by Kumar, S. Sivaprasad, Giri, Surya
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2412.04819
We introduce and study a class of starlike functions associated with the non-convex domain S^*nc = \ f ∈ A : (z f'(z))/(f(z)) \prec \frac1+zcosz =: φnc(z), z ∈ \mathbbD \. Key results include the growth and distortion theorems, initial coefficient bounds, and the sharp estimates for third-order Hankel and Hermitian-Toeplitz determinants. We also examine inclusion relations, radius problems for certain subclasses, and subordination results. These findings enrich the theory of starlike functions associated with non-convex domains, offering new perspectives in geometric function theory.