Hankel determinants for q-starlike functions connected with q-sine function
This article comprises the study of a new class of starlike functions, which is defined by q q -fractional operator and subordination to the q q -analog of sine function. This q q -sine function is defined by using the q q -exponential function and has the symmetric geometric structure. Certain coefficient problems are discussed for the newly defined class S q sin & lowast; {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.
Let r is an element of C, s is an element of [-1, 0), 0 <= alpha < 1. Then, Q [r, s, alpha] stands for the set of analytic functions q that is within the open unit disk E, with q (0) = 1,…
Parkinson's disease is a progressive neurological disorder characterized by the degeneration of the nervous system, leading to impaired motor and non-motor functions. Early symptoms include…