Functional inequalities and monotonicity results for modified Lommel functions of the first kind

2020/02/18 by Robert E. Gaunt, Gaunt, Robert E.
Mathematics · #26D07 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 33C20 #math.CA #msc:26D07 #msc:33C20

paper · pdf · doi:10.48550/arxiv.2002.07430

14 pages

arxiv created 2021/10/12 · arxiv updated 2021/10/13

Abstract

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.

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