Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains
Muhammad Sabil Ur Rehman, Qazi Zahoor Ahmad, Isra Al-Shbeil, Sarfraz Ahmad, Ajmal Khan, Bilal Khan, Jianhua Gong
Abstract
In the current work, by using the familiar q-calculus, first, we study certain generalized conic-type regions. We then introduce and study a subclass of the multivalent q-starlike functions that map the open unit disk into the generalized conic domain. Next, we study potentially effective outcomes such as sufficient restrictions and the Fekete–Szegö type inequalities. We attain lower bounds for the ratio of a good few functions related to this lately established class and sequences of the partial sums. Furthermore, we acquire a number of attributes of the corresponding class of q-starlike functions having negative Taylor–Maclaurin coefficients, including distortion theorems. Moreover, various important corollaries are carried out. The new explorations appear to be in line with a good few prior commissions and the current area of our recent investigation.