On Convex Functions Associated with Symmetric Cardioid Domain

Symmetry

Mohsan Raza¹  Janusz Sokół²  Sarfraz Nawaz Malik³  Rabbiya Manzoor³  Qin Xin⁴  Saira Zainab⁵ 

[1] Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan;Department of Mathematics, Rzeszów University of Technology, Al. Powstañców Warszawy 12, 35-959 Rzeszów, Poland;Department of Mathematics, Wah Campus, COMSATS University Islamabad, Wah Cantt 47040, Pakistan;Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands;School of Electrical Engineering and Computer Science (SEECS), National University of Sciences & Technology (NUST), Sector H-12, Islamabad 44000, Pakistan;

关键词: analytic functions;    shell-like curve;    Fibonacci numbers;    symmetric cardioid domain;    convex functions;    cardio-convex functions;   

DOI  :  10.3390/sym13122321

来源: DOAJ

【 摘 要 】

The geometry of the image domain plays an important role in the characterization of analytic functions. Therefore, for a comprehensive and detailed study of these functions, a thorough analysis of the geometrical properties of their domains is of prime interest. In this regard, new geometrical structures are introduced and studied as an image domain and then their subsequent analytic functions are defined. Inspired and motivated by ongoing research, Malik et al. introduced a very innovative domain named the cardioid domain, which is symmetric about a real axis. Extending the same work on this symmetric cardioid domain, in this article, we provide a deeper analysis and define and study the convex functions associated with the symmetric cardioid domain, named cardio-convex functions.

【 授权许可】

Unknown