I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Gil, Amparo, Segura, Javier, Temme, Nico M.
Hōputu: Preprint
I whakaputaina: 2004
Ngā marau:
Urunga tuihono:https://arxiv.org/abs/math/0401128
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Rārangi ihirangi:
  • We describe a variety of methods to compute the functions $K_{ia}(x)$, $L_{ia}(x)$ and their derivatives for real $a$ and positive $x$. These functions are numerically satisfactory independent solutions of the differential equation $x^2 w'' +x w' +(a^2 -x^2)w=0$. In an accompanying paper (Algorithm xxx: Modified Bessel functions of imaginary order and positive argument) we describe the implementation of these methods in Fortran 77 codes.