B-值随机Dirichlet级数表示整函数的增长性

The Growth of Entire Funcition Represented by B-valued Random Dirichlet Series

系统地研究了全平面收敛的B-值随机Dirichlet级数的增长性,得到了在一定条件下,B-值随机Dirichlet级数在收敛平面上的增长(下)级几乎处处等于某Dirichlet级数的增长(下)级还得到了它们与指数和系数的关系式.

In this paper, we study the growth of entire function represented by B-valued randcm Dirichlet series on the whole plane. Under certain conditions, It is almost sure that the （lower） order of B-valued random Dirichlet series is the same as that of some Dirichlet series on the whole plane. The relations among the （lower） order and the exponents and coefficients of these series are obtained.