Properties of <i>q</i>-Symmetric Starlike Functions of Janowski Type

oleh: Afis Saliu, Isra Al-Shbeil, Jianhua Gong, Sarfraz Nawaz Malik, Najla Aloraini

Format: Article
Diterbitkan: MDPI AG 2022-09-01

Deskripsi

The word “symmetry” is a Greek word that originated from “symmetria”. It means an agreement in dimensions, due proportion, and arrangement; however, in complex analysis, it means objects remaining invariant under some transformation. This idea has now been recently used in geometric function theory to modify the earlier classical <i>q</i>-derivative introduced by Ismail et al. due to its better convergence properties. Consequently, we introduce a new class of analytic functions by using the notion of <i>q</i>-symmetric derivative. The investigation in this paper obtains a number of the latest important results in <i>q</i>-theory, including coefficient inequalities and convolution characterization of <i>q</i>-symmetric starlike functions related to Janowski mappings.