Properties of a subclass of starlike functions involving the quantum derivative operator

A new class of functions is defined by expressing analytic characterizations of starlike function involving logarithm. To make this study more versatile, we redefine and study the class involving an operator associated with q -hypergeometric function. Estimates of the initial coefficients and Fekete-Szegő inequality of the functions, which belong to the defined function class, are our main results.