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On the efficient evaluation of modified Bessel functions of zeroth and first orders for arguments of the form x\(\cdot \exp (i\pi /4)\)

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Publication:802275
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DOI10.1016/0021-9991(84)90100-1zbMath0553.65013OpenAlexW2015407857MaRDI QIDQ802275

John L. Walmsley

Publication date: 1984

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90100-1


zbMATH Keywords

comparison of methodsmodified Bessel functionspower seriesasymptotic expansionstabulationfunction evaluationTemme's methodwind flow over low hills


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 (1)

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




Cites Work

  • Unnamed Item
  • 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 \(I_ n(x + jy)\)
  • Bessel functions I and J of complex argument and integer order




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