TY - JOUR
T1 - Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains
AU - Ur Rehman, Muhammad Sabil
AU - Ahmad, Qazi Zahoor
AU - Al-shbeil, Isra
AU - Ahmad, Sarfraz
AU - Khan, Ajmal
AU - Khan, Bilal
AU - Gong, Jianhua
N1 - Funding Information:
United Arab Emirates University, UPAR 31S315.
Publisher Copyright:
© 2022 by the authors.
PY - 2022/10
Y1 - 2022/10
N2 - 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.
AB - 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.
KW - analytic functions
KW - differential subordination
KW - multivalent (p-valent) functions
KW - q-derivative (q-difference) operator
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U2 - 10.3390/axioms11100494
DO - 10.3390/axioms11100494
M3 - Article
AN - SCOPUS:85140411051
SN - 2075-1680
VL - 11
JO - Axioms
JF - Axioms
IS - 10
M1 - 494
ER -