Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
From MaRDI portal
Publication:2719074
DOI10.1090/S0025-5718-00-01243-6zbMath0983.33004OpenAlexW2057938864MaRDI QIDQ2719074
Publication date: 14 May 2001
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01243-6
Related Items (8)
On the zeros and turning points of special functions. ⋮ On a conjecture regarding the extrema of Bessel functions and its generalization ⋮ Stable source reconstruction from a finite number of measurements in the multi-frequency inverse source problem ⋮ Hyperbolicity of Appell polynomials of functions in the \(\delta \)-Laguerre-Pólya class ⋮ Continuous ranking of zeros of special functions ⋮ A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions ⋮ On nodal sets and nodal domains on \(S^2\) and \(\mathbb R^2\) ⋮ Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\).
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coulomb and Bessel functions of complex arguments and order
- Chebyshev series approximations for the zeros of the Bessel functions
- 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
- Rational approximations for zeros of Bessel functions
- An approximation for the zeros of Bessel functions
- A differential inequality for the positive zeros of Bessel functions
- RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions
- Computational matrix representation modules for linear operators with explicit constructions for a class of Lie operators
- ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
- ``Best possible upper bounds for the first positive zeros of Bessel functions -- the finite part
- A Series Expansion for the First Positive Zero of the Bessel Functions
- On the Convexity of the Zeros of Bessel Functions
- An Upper Bound for the First Zero of Bessel Functions
- On asymptotic formulas for the first zero of the Bessel functionJv
- An upper bound for the zeros of the cylinder function C_v(x)
This page was built for publication: Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros