A probabilistic proof of an asymptotic formula for the modified Bessel function

DOI10.1007/S00025-022-01737-XOpenAlexW4292227897WikidataQ113906314 ScholiaQ113906314MaRDI QIDQ2171978

Bujar Xh. Fejzullahu

Publication date: 14 September 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01737-x

zbMATH Keywords

Bessel functionslocal limit theorembasic discrete probability distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• DLMF

Cites Work

• Modified Bessel function asymptotics via probability
• Exact simulation of Bessel diffusions
• Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori
• Univariate Discrete Distributions
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