Canonical vector polynomials for the computation of complex order Bessel functions with the tau method

DOI10.1016/S0898-1221(00)00282-0zbMath0986.65015OpenAlexW2030325540MaRDI QIDQ5948716

Juri M. Rappoport

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00282-0

zbMATH Keywords

Chebyshev polynomialscomplex order Bessel functionsdifferential equation of hypergeometric typetau method

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

On approximation and computation of modified Bessel functions of complex order ⋮ Reverse convolution inequalities for Lebedev-Skalskaya transforms ⋮ Computation of the canonical polynomials and applications to some optimal control problems ⋮ Evaluation of the modified Bessel function of the third kind of imaginary orders

Cites Work

• Some remarks on uniform asymptotic expansions for Bessel functions
• Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems With a Segmented-Adaptive Formulation of the Tau Method
• The computation of special functions
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• The Tau Method
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