On the Bessel function in the transition region

DOI10.1112/S1461157014000011zbMath1294.41025OpenAlexW2299443124MaRDI QIDQ5170264

Ilia Krasikov

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157014000011

zbMATH Keywords

Bessel functionsharp error term

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (5)

On approximation of ultraspherical polynomials in the oscillatory region ⋮ Extended Srivastava's triple hypergeometric \(H_{A,p,q}\) function and related bounding inequalities ⋮ The cost of controlling strongly degenerate parabolic equations ⋮ Asymptotic trace formula for the Hecke operators ⋮ Multi-parameter Mathieu, and alternating Mathieu series

Uses Software

• DLMF

Cites Work

• A Lower Bound for J_v(ν)
• “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)

This page was built for publication: On the Bessel function in the transition region