论文标题
对本文的评论“埃尔米特和抛物线缸功能比率的普遍界限和单调性能”
Comments on the paper "Universal bounds and monotonicity properties of ratios of Hermite and Parabolic Cylinder functions"
论文作者
论文摘要
在[1]的摘要中，我们读到：“我们获得了涉及Hermite和抛物线缸功能的比率的未经证实的特性。”但是，我们解释了该论文中的一些主要结果在[2]中已经证明了“通用界限”。在[1]中讨论了参考文献[2]中的错误，该错误不会影响那些“通用界限”的证据。我们很容易修复此勘误。我们结束了该注释，提出了关于抛物线缸功能一定比例的最佳上限的猜想。
In the abstract of [1] we read: "We obtain so far unproved properties of a ratio involving a classof Hermite and parabolic cylinder functions." However, we explain how some of the main results in that paper were already proved in [2], namely the `universal bounds'. An error in reference [2] was discussed in [1] which does not affect the proof given there for those `universal bounds'; we fix this erratum easily. We end this note proposing a conjecture regarding the best possible upper bound for a certain ratio of parabolic cylinder functions.
