Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (3): 363-368.

• Articles • Previous Articles     Next Articles

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

 TIAN Fan-Ji   

  1. Institute of Mathematics and Computer Sciences, Hubei University, Wuhan 430062, China
    Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Online:2001-07-06 Published:2001-07-06

Abstract:

Under suitable conditions on {Xn}, the author obtains the important results: it is almost sure that the random integral function f! =1P n=0 Xnzn (of finite positive order) has no deficient function, and any direction is a Borel direction (without finite exceptional value) of f!.

Key words: Random integral function, deficient function, order of growth

CLC Number: 

  • 60E99
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