• PROPERTIES OF A NEW CLASS OF ANALYTIC FUNCTIONS DEFINED BY A DERRERENTIAL OPERATOR

Abstract

A new class of analytic functions  is introduced by applying Salagean Operators. Some properties such as the coefficient limits and growth and distortion theorems for this class are found. A wide class of time series models may be expediently represented in a state-space framework; the state space technique is particularly useful when data complications like missing observations, aggregation, and errors-in-variables are present. Analytic first and second derivatives for the recursive prediction error algorithm’s log likelihood function.        .