On a subclass of analytic functions involving operators of fractional calculus. (English) Zbl 1123.30300
Summary: Making use of operator of fractional calculus, a subclass \(T_\lambda (\alpha, \beta,\mu:k)\) of univalent functions with negative coefficients in the unit disc \(U\) is introduced and basic properties e.g, coefficient estimates and growth theorem are established. Further, we established results involving modified Hadamard product, radius of starlikeness, close-to-convexity and convexity.
MSC:
30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
26A33 | Fractional derivatives and integrals |