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| 正实零点整函数的广义增长指标的一性质 | |
| 引用本文： | 霍守斌 王文俊. 正实零点整函数的广义增长指标的一性质[J]. 山西大学学报(自然科学版), 1991, 14(4): 355-364 |
| 作者姓名： | 霍守斌 王文俊 |
| 作者单位： | 石油大学(霍守诚)，山西大学(王文俊) |
| 摘 要： | 本文证明了,一个整函数与由该函数的非零零点构成的典型乘积具有相同的广义增长指标,给出了具有正实零点的非整数级函数,当其零点对于任意邻近级上密度存在时,其广义增长指标与其零点之上密度的关系。 |
| 关 键 词： | 整函数 零点 广义增长指标 |
A PROPERTY OF GENERALIZED GROWTH INDEX OF AN ENTIRE FUNCTION WITH POSITIVE REAL ZEROS |
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| Huo Shoucheng. A PROPERTY OF GENERALIZED GROWTH INDEX OF AN ENTIRE FUNCTION WITH POSITIVE REAL ZEROS[J]. Journal of Shanxi University (Natural Science Edit, 1991, 14(4): 355-364 | |
| Authors: | Huo Shoucheng |
| Affiliation: | Huo Shoucheng (Petroleum University) Wang Wenjun (Shanxi University) |
| Abstract: | This paper proves the result that an entire function is equivalent to the canonical product generated by nonzero zeros of the function in generalized growth index and shows the relation between generalized growth index of a non-integral order of entire function with positive real zeros and upper density of zeros of the function on condition that the upper density exists for arbitrary proximity order. |
| Keywords: | entire function zero upper density proximity order generalized growth index |
| 本文献已被 CNKI 维普 等数据库收录！ | |