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

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 rega...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-9
Hauptverfasser: Karthikeyan, K. R., Murugusundaramoorthy, G., Purohit, S. D., Suthar, D. L.
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Sprache:eng
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Zusammenfassung: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).
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/8298848