Chen, MPIrmak, HSrivastava, HM2020-06-252020-06-251998closedAccess0898-1221https://doi.org/10.1016/S0898-1221(98)00007-8https://hdl.handle.net/20.500.12587/2805Srivastava, Hari M./0000-0002-9277-8092; Srivastava, Hari M./0000-0002-9277-8092Making use of certain operators of fractional calculus, we introduce a new class T-mu(n,lambda,alpha) of functions which are analytic and univalent in the open unit disk U and obtain a necessary and sufficient condition for a function to be in the class T-mu(n,lambda,alpha). The various other results presented here for the class T-mu(n,lambda,alpha) include the radii of close-to-convexity, starlikeness, and convexity, end some growth and distortion theorems involving fractional integrals and fractional derivatives. Some interesting consequences and possible further generalizations of these results are also pointed out.eninfo:eu-repo/semantics/closedAccessanalytic functionsunivalent functionsfractional calculus (fractional integral and fractional derivative)close-to-convex functionsstarlike functionsconvex functionsmaximum modulus theoremgrowth and distortion theoremsGauss hypergeometric functionArticle355839110.1016/S0898-1221(98)00007-82-s2.0-0032021031Q1WOS:000072389800007Q3