Abstract
In the present article, the author investigates some properties of fractional analytic function $g_{m}(z)^{\alpha}$, 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 $T^{\alpha}_{m, n}(\beta)$, of m-fold symmetric bi-Bazilevic functions associated with modified sigmoid functions are considered while several other corollaries follow as simple consequences.
Citation
J. O. Hamzat. "Some properties of a new subclass of m-fold symmetric bi-Bazilevic functions associates with modified sigmoid function." Tbilisi Math. J. 14 (1) 107 - 118, March 2021. https://doi.org/10.32513/tmj/1932200819
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