全平面上的Dirichlet级数的正规增长性  

The Regular Growth of Dirichlet Series on the Whole Plane

作　　者：潘利萍[1] 杨祺[1] 田宏根[1] 

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830054

出　　处：《鲁东大学学报（自然科学版）》2013年第2期101-105,124,共6页Journal of Ludong University:Natural Science Edition

摘　　要：引用Knopp-Kojima方法,定义了Dirichlet级数的级及正规增长级,并以此研究了零级和有限级Dirichlet级数在全平面的正规增长性,得到了零级和有限级Dirichlet级数在全平面的正规增长级的等价条件.Using the method of Knopp-Kojima, order and the order of regular growth of Dirichlet series are defined. Furthermore,the regular growth of zero order and finite order Dirichlet series are studied on the whole plane, and an equivalent condition of the order of regular growth of Dirichlet series is obtained.

关 键 词：DIRICHLET级数 Knopp—Kojima方法 型函数 正规增长性 

分 类 号：O174.52[理学—数学]