A Novel Subclass of Analytic Functions Specified by a Family of Fractional Derivatives in the Complex Domain

作者：Esa Zainab^*; Srivastava H M; Kilicman Adem; Ibrahim Rabha W

来源：Filomat, 2017, 31(9): 2837-2849.

DOI：10.2298/FIL1709837E

• Analytic functions
• Univalent functions
• Fractional integral and fractional derivative operators
• Srivastava-Owa operator of fractional derivative
• Coefficient inequalities and coefficient estimates
• Distortion theorems
• Radii of convexity and starlikeness
• Modified convolution

In this paper, by making use of a certain family of fractional derivative operators in the complex domain, we introduce and investigate a new subclass P-tau,P-mu(k, delta, gamma) of analytic and univalent functions in the open unit disk U. In particular, for functions in the class P-iota,P-mu(k, delta, gamma), we derive su ffi cient coe ffi cient inequalities and coe ffi cient estimates, distortion theorems involving the above-mentioned fractional derivative operators, and the radii of starlikeness and convexity. In addition, some applications of functions in the class P-tau,P-mu(k, delta, gamma) are also pointed out.

• 出版日期2017
• 单位中国医科大学