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

K. R. Karthikeyan, S. D. Purohit, D. L. Suthar
Published in Hindawi
2021
Volume: 2021

Issue: 8298848
Pages: 1 - 9
Abstract

In this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to -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 -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).