关于{Ki(z)}函数的一个注记
A Note About the {Ki(z)} Functions
摘要:
在文章[Petojevic 2006]中,A. Petojevi\' c验证了有用的属性的$K_{i}(z)$功能,推广Kurepa的[Kurepa 1971]左阶乘函数。在本文中,我们给出了其中两个结果的简化证明,并回答了[Petojevic 2006]中提出的开放问题。最后讨论了$K_{i}(z)$函数的微分超越性。
英文摘要:
In the article [Petojevic 2006], A. Petojevi\' c verified useful properties of the $K_{i}(z)$ functions which generalize Kurepa's [Kurepa 1971] left factorial function. In this note, we present simplified proofs of two of these results and we answer the open question stated in [Petojevic 2006]. Finally, we discuss the differential transcendency of the $K_{i}(z)$ functions.
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