半平面上有限级B值Dirichlet级数的增长性

B-VALUED DIRICHLET SERIES OF FINITE ORDER ON THE HALF-PLANE

摘要: 先研究了有关B值~Dirichlet级数的一些基本性质,扩充了B 值~Dirichlet级数的理论. 在此基础上,研究了~B值~Dirichlet级数的增长级，得到了正规增长的几个充分必要条件.

Abstract: Some basic theories about B-valued Dirichlet series are introduced and generalized. Furthermore, the B-valued Dirichlet series on the half-plane is investigated. Two necessary and sufficient conditions for the growth and regular growth of B-valued Dirichlet series are obtained.