On the zeros and turning points of special functions.

DOI10.1016/S0377-0427(02)00614-3zbMath1116.33300MaRDI QIDQ1874181

Javier Segura

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Special functionsSturm comparison theoremZerosFixed point methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric functions (33C99)

Related Items (3)

A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions ⋮ New inequalities from classical Sturm theorems ⋮ Interlacing of the zeros of contiguous hypergeometric functions

Cites Work

• Unnamed Item
• A global Newton method for the zeros of cylinder functions
• A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions
• On a conjecture regarding the extrema of Bessel functions and its generalization
• Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
• Some Consequences of the Sturm Comparison Theorem
• Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs
• The Zeros of Special Functions from a Fixed Point Method
• Some recent results on the zeros of Bessel functions and orthogonal polynomials

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