Owa, Shigeyoshi2024-07-052024-07-052020-01-011310-1331https://doi.org/10.7546/CRABS.2020.01.02https://hdl.handle.net/11452/42990Let A be the class of analytic functions f with f(0) = 0 and f'(0) = 1 in the open unit disk U. Applying the fractional derivative D-z(lambda) f of order lambda for f is an element of A, a new subclass A(alpha, beta; lambda) of A with 0 <= alpha < 1, beta > 1 and 0 <= lambda < 1 is considered. The object of the present paper is to discuss some interesting properties of this class of functions.eninfo:eu-repo/semantics/closedAccessAnalytic functionFractional derivativeFractional integralCoefficient inequalityMultidisciplinary sciencesScience & technology - other topicsArticle000514405000002132173110.7546/CRABS.2020.01.02