Positivity and Hankel transforms

Zhang, Ruiming

doi:10.1090/proc/15905

Positivity and Hankel transforms
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by Ruiming Zhang PDF

Proc. Amer. Math. Soc. 150 (2022), 3025-3035 Request permission

Abstract:

In this work we prove that some integrals of special functions are positive by applying the Plancherel theorem for Hankel transforms and positivity of the modified Bessel functions. We also prove that, except an extra elementary factor, Hankel transforms map subsets of completely monotonic functions into complete monotonic functions.

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