New subclass of q-starlike functions associated with generalized conic domain

• Published in: AIMS mathematics Vol. 5; no. 5; pp. 4830 - 4848
• Main Authors: Zhang, Xiaoli, Khan, Shahid, Hussain, Saqib, Tang, Huo, Shareef, Zahid
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2020
• Subjects: analytic functions; conic and generalized conic domains; q-derivative operator; q-starlike functions; quantum (or q-) calculus; subordination

In this paper, the concepts of quantum (or q-) calculus and conic regions are combined to define a new domain Ωk,q,γ which represents the generalized conic regions. Then by using a certain generalized conic domain Ωk,q,γ we define and investigate a new subclass of normalized analytic functions in op...