Uniform enclosures for the phase and zeros of Bessel functions and their derivatives

DOI10.1137/24m1642032MaRDI QIDQ6652057

Iosif Polterovich, Nikolay Filonov, David A. Sher, Michael Levitin

Publication date: 12 December 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Bessel functionsphase functionone-dimensional Schrödinger equationSturm oscillation theoremBessel zeros

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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