An extension of hardy’s classL of “orders of infinity”
An extension of hardy’s classL of “orders of infinity”
复制标题
Hardy L 类“无穷大阶”的延伸
DOI：
10.1007/bf02803337
复制
发表时间：
1981
期刊：
影响因子：
--
通讯作者：
M. Boshernitzan
中科院分区：
文献类型：
--
作者：
M. Boshernitzan
GH Hardy在文[3]和他的书[5]中考虑了一类L对数指数函数(简称L函数)。它们是实数、单值函数，定义为所有大于某个确定值的x。通过d~定义，L是满足以下条件的这类函数的极小类：(C1)这类包含实常数和单位函数x。(C2)这类在环运算(点加和乘法)下是闭的。
GH Hardy in this paper [3] and his book [5] considered a class L of logarithmic-exponential functions (L-functions for short). These are real, singlevalued functions, defined for all x greater than some definite value. By d~ finition, L is the minimal class of such functions with respect to the following conditions:(C1) This class contains real constants and the identity function x.(C2) This class is closed under ring operations (pointwise addition and multiplication).