Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus

K. R. Karthikeyan, G. Murugusundaramoorthy, S. D. Purohit, D. L. Suthar and Firdous A. Shah

Journal of Mathematics, 2021, vol. 2021, 1-9

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).

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8298848

DOI: 10.1155/2021/8298848

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