Sufficiency Criteria for q-Starlike Functions Associated with Cardioid. (19th April 2021)

• Record Type: Journal Article
• Authors: Zainab, Saira; Shakeel, Ayesha; Imran, Muhammad; Muhammad, Nazeer; Naz, Hira; Malik, Sarfraz Nawaz; Arif, Muhammad
• Other Names: Srikandan Sivasubramanian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9999213
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This article deals with the q -differential subordinations for starlike functions associated with the lemniscate of Bernoulli and cardioid domain. The primary goal of this work is to find the conditions on γ for 1 + γ z ∂ q h z / h n z ≺ 1 + z, where h z is analytic function and is subordinated by the function which is producing cardioid domain as its image domain while mapping the open unit disk. Along with this, certain sufficient conditions for q -starlikeness of analytic functions are determined.