Some properties of a new subclass of m-fold symmetric bi-Bazilevic functions associates with modified sigmoid function

J. O. Hamzat

In the present article, the author investigates some properties of fractional analytic function gm(z)α, belonging to two new subclasses of m-fold symmetric starlike and convex functions in the open unit disk. In addition, properties of certain new subclass Tαm,n(β), of m-fold symmetric bi-Bazilevic functions associated with modified sigmoid functions are considered while several other corollaries follow as simple consequences. 

Tbilisi Mathematical Journal, Vol. 14(1) (2021), pp. 107-118