论文标题

关于与Digamma函数相关的某个功能的积极性

On the positivity of a certain function related with the Digamma function

论文作者

Castillo, K.

论文摘要

证明$$ \ left(\ frac {x^n} {1- e^{ - x}}} \ right)^{(n)}> 0 $$ for All $ x \ in(\ log 2,\ log 2,\ infty)$ and $ n \ in \ mathbb {n} $ in \ nathbb {n} $,这是2006年的RARAM J. [Al-musall and-infus of [al-musall and ubus uff] [al-musaus and in [al-musaus and in] [al-muslam andus us in [al-mus of ustanue and] 399-402]。

It is proved that $$\left(\frac{x^n}{1-e^{-x}}\right)^{(n)}>0$$ for all $x\in (\log 2, \infty)$ and $n\in \mathbb{N}$, which improves the result of [Al-Musallam and Bustoz in Ramanujan J. 11 (2006) 399-402].

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