论文标题
第一种修改的Lommel功能的功能不平等和单调性结果
Functional inequalities and monotonicity results for modified Lommel functions of the first kind
论文作者
论文摘要
我们为第一种修改的Lommel函数建立了一些单调性结果和功能不平等。特别是,我们获得了新的Turán型不平等和界限,以获得第一类改良的Lommel函数以及功能本身的比率。这些结果补充,在某些情况下可以改善现有结果,还概括了有关单调性模式和功能不平等的文献的许多结果,这些结果是第一种修改的效果。
We establish some monotonicity results and functional inequalities for modified Lommel functions of the first kind. In particular, we obtain new Turán type inequalities and bounds for ratios of modified Lommel functions of the first kind, as well as the function itself. These results complement and in some cases improve on existing results, and also generalise a number of the results from the literature on monotonicity patterns and functional inequalities for the modified Struve function of the first kind.