Zeros' distribution of the first kind Bessel functions

DOI10.7153/dea-08-20zbMath1342.33009OpenAlexW2509640279MaRDI QIDQ2815961

Chi-Ru Yang, Cheng-Hsiung Hsu

Publication date: 30 June 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-20

zbMATH Keywords

Bessel functionSiegel's theoremNash-Moser theorem

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) General theory for ordinary differential equations (34A99)

Uses Software

• ELF
• GNOME

Cites Work

• Bessel functions in mass action modeling of memories and remembrances
• Smooth solutions of the one-dimensional compressible Euler equation with gravity
• ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
• Electrostatics and zeros of Bessel functions
• Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case
• Smooth solutions to a class of quasilinear wave equations
• The inverse function theorem of Nash and Moser
• Some recent results on the zeros of Bessel functions and orthogonal polynomials

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