A NOVEL SUBCLASS OF UNIVALENT FUNCTIONS
INVOLVING OPERATORS OF FRACTIONAL CALCULUS
P.N. Kamble1, M.G. Shrigan2, H.M. Srivastava3 1Department of Mathematics
Dr. Babasaheb Ambedkar Marathwada University
Aurangabad, 431004, Maharashtra State, INDIA 2Department of Mathematics
Dr. D.Y. Patil School of Engineering and Technology
Pune 412205, Maharashtra State, INDIA
In this paper, we introduce and investigate a novel class of analytic and
univalent functions with negative Taylor-Maclaurin coefficients
in the open unit disk. For this function class, we obtain characterization
and distortion theorems as well as the radii of close-to-convexity,
starlikeness and convexity by using techniques involving operators
of fractional calculus.
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