全平面上无限级Dirichlet级数的增长性  

Growth of Dirichlet Series of Infinite Order in the Plane

作　　者：刘伟群[1] 孙道椿[2] 

机构地区：[1]广东梅州嘉应学院数学学院,广东梅州514015 [2]广州华南师范大学数学科学院,广州510631

出　　处：《数学物理学报（A辑）》2012年第4期808-815,共8页Acta Mathematica Scientia

摘　　要：讨论全平面无限级Dirichlet级数的增长性,应用熊庆来型函数和Knopp-Kojima的方法定义级数的级和下级,并应用牛顿多边形得到了它的上下级和它系数间的关系.In this article,we study the growth of Dirichlet series of infinte order in the plane. Its order and low order by the type-function of Xiong Kin-lai and the method of Knopp-Kojima are defined,The relation between the low order of Dirichlet series and its coefficients is obtained by using the Newton polygon.

关 键 词：DIRICHLET级数 型函数 增长性 NEWTON多边形 

分 类 号：O174.5[理学—数学]