Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus. (26th August 2021)

• Record Type: Journal Article
• Authors: Karthikeyan, K. R.; Murugusundaramoorthy, G.; Purohit, S. D.; Suthar, D. L.
• Other Names: Shah Firdous A. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-08-26
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/8298848
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to j, k -symmetric points based on quantum calculus by subordinating with pedal-shaped regions. We found integral representation theorem and conditions for starlikeness. Furthermore, with regard to j, k -symmetric points, we successfully obtained the coefficient bounds for functions in the newly specified class. We also quantified few applications as special cases which are new (or known).