江西科学
江西科學
강서과학
JIANGXI SCIENCE
2011年
4期
442-444
,共3页
刘敏%黄文平%胡丹%宁菊红
劉敏%黃文平%鬍丹%寧菊紅
류민%황문평%호단%저국홍
整函数%无限级超Dirichlet级数
整函數%無限級超Dirichlet級數
정함수%무한급초Dirichlet급수
Entire function%Hyper Dirichlet series of infinite order
对一个系数满足一给定增长条件且在一固定水平带形有界,恒不为零的具有无限级超D irichlet级数表示的整函数的存在性,给出了充要条件。
對一箇繫數滿足一給定增長條件且在一固定水平帶形有界,恆不為零的具有無限級超D irichlet級數錶示的整函數的存在性,給齣瞭充要條件。
대일개계수만족일급정증장조건차재일고정수평대형유계,항불위령적구유무한급초D irichlet급수표시적정함수적존재성,급출료충요조건。
The necessary and sufficient conditions are given for the existence of an entire functions whose coefficients are dominated by an appropriate function, being not identically to zero, bounded in a horizontal strip and to be able represented by Hyper Dirichlet Series of Infinite Order.
