On the complex zeros of Airy and Bessel functions and those of their derivatives

DOI10.1142/S0219530514500341zbMath1302.33004arXiv1403.8113OpenAlexW2091295515MaRDI QIDQ2925314

Javier Segura, Amparo Gil

Publication date: 21 October 2014

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.8113

zbMATH Keywords

Bessel functionscomplex zerosAiry functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (2)

On the dynamics of the zeros of solutions of the Airy equation ⋮ Proofs of Two Conjectures on the Real Zeros of the Cylinder and Airy Functions

Uses Software

• DLMF

Cites Work

• Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\).
• Computing the complex zeros of special functions
• Zeros of the Macdonald function of complex order
• Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
• Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs
• On the Reversion of an Asymptotic Expansion and the Zeros of the Airy Functions
• Numerical Methods for Special Functions
• Complex Zeros of Linear Combinations of Spherical Bessel Functions and Their Derivatives

This page was built for publication: On the complex zeros of Airy and Bessel functions and those of their derivatives