Hankel determinants for q-starlike functions connected with q-sine function

Abstract

This article comprises the study of a new class of starlike functions, which is defined by qq-fractional operator and subordination to the qq-analog of sine function. This qq-sine function is defined by using the qq-exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class Sqsin∗{S}_{q\sin }^{\ast }, which include four coefficient bounds and the upper bounds of second and third Hankel determinants. Kruskal’s inequality for this class is also a part of this study.

Keywords

• analytic function
• univalent function
• q-fractional derivative (or difference) operator
• factorial functional
• q-exponential function
• q-starlike functions
• 30c45
• 30c50