Algorithms for the evaluation of Bessel functions of complex argument and integer orders

DOI10.1016/0893-9659(89)90086-4zbMath0706.33003OpenAlexW2035491881MaRDI QIDQ919151

G. D. C. Kuiken

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90086-4

zbMATH Keywords

numerical computationBessel functions

Mathematics Subject Classification ID

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

Related Items

Bi-velocity hydrodynamics: multicomponent fluids ⋮ Bi-velocity hydrodynamics: single-component fluids

Cites Work

• Unnamed Item
• Unnamed Item
• On the efficient evaluation of modified Bessel functions of zeroth and first orders for arguments of the form x\(\cdot \exp (i\pi /4)\)
• On the numerical evaluation of the modified Bessel function of the third kind
• The special functions and their approximations. Vol. I, II
• Double precision FORTRAN subroutines to compute both ordinary and modified Bessel functions of the first kind and of integer order with arbitrary complex argument: \(J_ n(x + jy)\) and \(I_ n(x + jy)\)
• Numerical Calculation of Certain Definite Integrals by Poisson's Summation Formula
• Further remarks concerning the relative accuracy of Simpson's and the trapezoidal rule for a certain class of functions
• Generation of Bessel Functions on High Speed Computers
• Recurrence Techniques for the Calculation of Bessel Functions
• Wave propagation in fluid lines
• Error Estimates for Luke's Approximation Formulas for Bessel and Hankel Functions
• Numerical Evaluation of Continued Fractions
• Computational Aspects of Three-Term Recurrence Relations
• Numerical solution of second-order linear difference equations
• Note on Backward Recurrence Algorithms

This page was built for publication: Algorithms for the evaluation of Bessel functions of complex argument and integer orders