Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\).
DOI10.1016/j.camwa.2012.02.032zbMath1252.65087OpenAlexW139484425MaRDI QIDQ692212
Publication date: 4 December 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2012.02.032
Numerical methods for initial value problems involving ordinary differential equations (65L05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical computation of roots of polynomial equations (65H04) General theory for ordinary differential equations (34A99)
Related Items (2)
Uses Software
Cites Work
- An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives
- ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument
- Monotonic sequences related to zeros of Bessel functions
- The real zeros of the derivatives of cylinder functions of negative order
- ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
- On a conjecture regarding the extrema of Bessel functions and its generalization
- Ratios of Bessel functions and roots of \(\alpha J_v(x)+xJ_v'(x)=0\)
- Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
- Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
- A Series Expansion for the First Positive Zero of the Bessel Functions
- Algorithm 644
- Some Remarks on Zeros of Cylinder Functions
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