Inequalities for some integrals involving modified Bessel functions
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- by Robert E. Gaunt PDF
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Abstract:
Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits. As a consequence, we deduce a tight double inequality, involving the modified Bessel function of the first kind, for a generalized hypergeometric function. We also present some open problems that arise from this research.References
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Additional Information
- Robert E. Gaunt
- Affiliation: School of Mathematics, The University of Manchester, Manchester M13 9PL, United Kingdom
- MR Author ID: 1069724
- ORCID: 0000-0001-6187-0657
- Email: robert.gaunt@manchester.ac.uk
- Received by editor(s): June 1, 2018
- Received by editor(s) in revised form: October 5, 2018
- Published electronically: March 5, 2019
- Additional Notes: The author was supported by a Dame Kathleen Ollerenshaw Research Fellowship.
- Communicated by: Yuan Xu
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2937-2951
- MSC (2010): Primary 33C10, 26D15
- DOI: https://doi.org/10.1090/proc/14433
- MathSciNet review: 3973896