| 无穷级整函数对数级与对数型的一些性质 |
| |
| 引用本文： | 石奇骠. 无穷级整函数对数级与对数型的一些性质[J]. 晋中学院学报, 1997, 0(1) |
| |
| 作者姓名： | 石奇骠 |
| |
| 摘 要： | 本文是研究整函数的增长性.应用无穷级整函数的对数级与对数型的定义,以及参考文献[2]中的一些结果,进一步得到了关于无穷级整函数对数级与对数型的一些重要性制裁.现将主要结果叙述于下:定理1:设整函数f(Z)=sum from n=0 to ∞ a_nZ~n的对数级为ρ1,则有ρ1=（?）定理2:设整函数f(Z)=sum from n=0 to∞(a_nZ~n)的对数级为ρ_1,并且0<ρ_1<+∞,其对数型为σ_1,则有定理3:设整函数f(z)=sum from n=0 to∞( a_nZ~n),存在,并且0<ρ<十∞,则当0<ν<+∞时,ρ必为f(Z)的对数级,进而ν为f(Z)的对数型.定理4:设f(Z)=sum from n=0 to∞(a_nZ~n)为无穷级整函数,则f(Z)与它的导函数f’(z)具有相同的对数级与对数型.
|
| 关 键 词： | 整函数 对数级 对数型 |
Some Porperties of Infinite Degree Integral Function Logarithmic Degree and Logarithmic Form |
| |
| Shi Qibiao Shanxi Jinzhong teachers college. Some Porperties of Infinite Degree Integral Function Logarithmic Degree and Logarithmic Form[J]. Journal of Jinzhong University, 1997, 0(1) |
| |
| Authors: | Shi Qibiao Shanxi Jinzhong teachers college |
| |
| Affiliation: | Shi Qibiao Shanxi Jinzhong teachers college 030600 |
| |
| Abstract: | this paper uses concepts of infinite degree integral function logarithmic, degree and logarithmic form and cites some results in dissertation[2]further obtained some important properties about infinite degree integral function logarithmic degree and logarithmic form. |
| |
| Keywords: | Integral function Logarithmic degree Logarithmic form. |
| 本文献已被 CNKI 等数据库收录！ |
|
