Some inequalities of the Turan type for confluent hypergeometric functions of the second kind

Authors

DOI:

https://doi.org/10.24193/subbmath.2019.1.06

Keywords:

inequality of the Tur\'an type, confluent hypergeometric function of the second kind, improvement, Mellin transform, Laplace transform, H\"older integral inequality

Abstract

In the paper, by virtue of the H\"older integral inequality, the authors derive some inequalities of the Tur\'an type for confluent hypergeometric functions of the second kind, for the Mellin transforms, and for the Laplace transforms, and improve some known inequalities of the Tur\'an type.

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Published

2019-03-14

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Section

Articles