PROPERTIES OF A CLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH EXPONENTIALLY CONVEX FUNCTIONS

Studies in univalent function theory comprising the exponential of differential characterizations are rarely considered. The prominent study in this direction is the study of so-called -exponentially convex functions. Here we study a class of analytic functions which satisfy an analytic characterization influenced by the definition of the multiplicative derivative and -exponentially convex functions. Integral representation and coefficient inequalities of the defined function class are the main results of the paper.