Quantum Approach to Starlike Functions

Authors

Khalida Inayat Noor, Mathematics Department, COMSATS University Islamabad, Park Road, Islamabad, PakistanFollow
Muhammad Aslam Noor, Mathematics Department, COMSATS University Islamabad, Park Road, Islamabad, PakistanFollow
Hamdy M. Mohamed, College of Engineering, Applied Science University (ASU), P.O. Box 5055, East Al-Ekir, BahraiFollow

Author Country (or Countries)

Pakistan

Abstract

A new class R∗q(β),q∈(0,1),β∈(0,1], of functions of analytic in E = {z : |z| < 1} with f(0) = f′(0)−1 = 0, is defined using the concept of q-difference operator Dq. as: f ∈ R∗q(β), if and only if, z Dq f (z) is subordinate to 􏰀 1+z 􏰁β , q ∈ (0, 1) for z ∈ E . Several properties of this class which include a distortion result, an integral f (z) 1−qz operator and rate of growth of coefficients. Some interesting special cases are deduced from main results as applications.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150405

Recommended Citation

Inayat Noor, Khalida; Aslam Noor, Muhammad; and M. Mohamed, Hamdy (2021) "Quantum Approach to Starlike Functions," Applied Mathematics & Information Sciences: Vol. 15: Iss. 4, Article 5.
DOI: http://dx.doi.org/10.18576/amis/150405
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss4/5