Abstract
"The main purpose of this note is firstly to present certain information in relation with some elementary operators created by the well-known fractional calculus, also to determine a number of applications of them for certain complex function analytic in the open unit disc, and then to reveal (or point out) some implications of the fundamental results of this research. Keywords: Complex domains, open unit disc, normalized analytic function, fractional calculus, Operators of fractional calculus, Series expansions, inequalities in the complex plane. "
Publisher
Babes-Bolyai University Cluj-Napoca
Reference28 articles.
1. "[1] Altîntaş, O., Irmak, H., Srivastava, H.M., Fractional calculus and certain starlike functions with negative coefficients, Comput. Math. Appl., 30(1995), no. 2, 9-15.
2. [2] Chen, M.P., Irmak, H., Srivastava, H.M., Some families of multivalently analytic functions with negative coefficients, J. Math. Anal. Appl., 214(1997), no. 2, 674-690.
3. [3] Chen, M.P., Irmak, H., Srivastava, H.M., A certain subclass of analytic functions involving operators of fractional calculus, Comput. Math. Appl., 35(1998), no. 2, 83-91.
4. [4] Duren, P.L., Grundlehren der Mathematischen Wissenschaften, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983.
5. [5] Esa, Z., Srivastava, H.M., Kiliçman, A., Ibrahim, R.W., A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain, Filomat, 31(2017), no. 9, 2837-2849.