Algorithms for the evaluation of Bessel functions of complex argument and integer orders
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Publication:919151
DOI10.1016/0893-9659(89)90086-4zbMath0706.33003OpenAlexW2035491881MaRDI QIDQ919151
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
Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
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Cites Work
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- 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
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