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

AIMS Mathematics

Huo Tang¹  Xiaoli Zhang¹  Shahid Khan²  Saqib Hussain³  Zahid Shareef⁴ 

[1] 1 School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, People’s Republic of China;2 Department of Mathematics, Riphah International University, 44000 Islamabad, Pakistan;3 Department of Mathematics, COMSATS University Islamabad, Abbottabad campus 22060, Pakistan;4 Mathematics and Natural Science division, Higher Colleges of Technology, Fujairah Men’s, Fujairah, United Arab Emirates;

关键词: analytic functions;    quantum (or q-) calculus;    q-derivative operator;    q-starlike functions;    conic and generalized conic domains;    subordination;   

DOI  :  10.3934/math.2020308

来源: DOAJ

【 摘 要 】

In this paper, the concepts of quantum (or q-) calculus and conic regions are combined to define a new domain Ω_k,q,γ which represents the generalized conic regions. Then by using a certain generalized conic domain Ω_k,q,γ we define and investigate a new subclass of normalized analytic functions in open unit disk E. We also investigate a number of useful properties and characteristics of this subclass such as, structural formula, necessary and sufficient condition, coefficient estimates, Feketo-Szego problem, distortion inequalities, closure theorem, and subordination result. We also highlight some known consequences of our main results as corollaries.

【 授权许可】

Unknown