Hankel determinant for a class of analytic functions involving conical domains defined by subordination

Domains with conical sections is an underlying concept in the area of complex function theory although is an interesting topic and it deserves more attention. There has been many works focusing towards this area for the past two decades. However, the concept of Hankel determinant has not been studied so far. Exploiting this, we provide an estimate for the Hankel determinant with domains bounded by conical sections. The authors sincerely hope this article will revive and encourage the other researchers to obtain similar sort of estimates for other classes connected with conical domains. The concept of conical domains was introduced by Kanas and Wiśniowska.