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Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus
Author(s) -
Kadhavoor R. Karthikeyan,
G. Murugusundaramoorthy,
Sunıl Dutt Purohıt,
D. L. Suthar
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/8298848
Subject(s) - mathematics , class (philosophy) , calculus (dental) , order (exchange) , pure mathematics , discrete mathematics , medicine , dentistry , finance , artificial intelligence , computer science , economics
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).

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