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Bessel functions $J\sb n(z)$ and $Y\sb n(z)$ of integer order and complex argument. (English) Zbl 0878.65012
Summary: This paper describes computer subroutines which were developed to compute Bessel functions of the first and second kind ($J_n(z)$ and $Y_n(z)$, respectively) for a complex argument $z$ and a range of integer orders. A novel way of determining the starting point of backward recurrence is used, and the algorithm for $Y_n(z)$ improves on previous algorithms in terms of accuracy and restrictions on the range of orders.

MSC:
 65D20 Computation of special functions, construction of tables 33C10 Bessel and Airy functions, cylinder functions, ${}_0F_1$
Full Text:
References:
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