北京师范大学学报（自然科学版）2017，Vol.53Issue(3)：263-266,4.DOI:10.16360/j.cnki.jbnuns.2017.03.003
广义Laplace-Stieltjes变换的(p,q)级
The (p,q) order of generalized Laplace-Stieltjes transforms
摘要
Abstract
The growth of entire functions represented by generalized Laplace-Stieltjes transforms defined in a piecewise smooth jordan curve starting from origin in half right plane is studied.The maximum modulus M(r,F) and the maximum term m(r,F) of F(s) in the circle [z[=r are defined.The conception of (p,q)order is introduced.Equivalence relation between (p,q) order represented by maximum modulus M(r,F) and (p,q) order represented by An,λn (n=1,2,…) is then obtained.关键词
广义Laplace-Stieltjes变换/整函数/最大模/最大项/(p,q)级Key words
generalized Laplace-Stieltjes transform/entire function/maximum modulus/maximum term/(p,q) order分类
数理科学引用本文复制引用
宁菊红,陈菁菁,邓冠铁..广义Laplace-Stieltjes变换的(p,q)级[J].北京师范大学学报（自然科学版）,2017,53(3):263-266,4.基金项目
国家自然科学基金资助项目(11661044,11271045) （11661044,11271045）
