ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

摘要

Under suitable conditions on {Xn}, the author obtains the important results: it is almost sure that the random integral function fω = sumfromn=1to ∞Xn zn (of finite positive order) has no deficient function, and any direction is a Borel direction (without finite exceptional value) of fω.