Positivity and Hankel transforms

DOI10.1090/PROC/15905OpenAlexW4200071266MaRDI QIDQ5081532

Ruiming Zhang

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15905

zbMATH Keywords

Hankel transformsBessel functionscomplete monotonicitypositive integrals

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Positivity of oscillatory integrals and Hankel transforms

Uses Software

• DLMF

Cites Work

• Completely monotonic functions associated with the gamma function and its q-analogues
• Completely monotonic functions involving the gamma and $q$-gamma functions
• Using integrals of squares of certain real-valued special functions to prove that the P\'olya \Xi^*(z) function, the functions K_{iz}(a), a > 0, and some other entire functions have only real zeros
• On Gamma Function Inequalities
• Positive Jacobi Polynomial Sums, II
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