A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator. (13th September 2021)

• Record Type: Journal Article
• Authors: Alarifi, Najla M.; Ibrahim, Rabha W.
• Other Names: Malik Sarfraz Nawaz Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6270711
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Newly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have investigated the most applicable fractional differential operator called the Prabhakar fractional differential operator into a complex domain. We express the operator in observation of a class of normalized analytic functions. We deal with its geometric performance in the open unit disk.