CDC 6600 Subroutines IBESS and JBESS for Bessel Functions I υ (x) and J υ (x), x≥0,υ≥0
Donald E. Amos, Luca Daniel, Matthew Weston · ACM Transactions on Mathematical Software · 1977
Subroutines IBESS and JBESS for L(x) and J,(x), x >_ O, p > O, are presented which implement, in similar fashions, the power series, the asymptotic expansion for x ~ ~, and the uniform asymptotic expansion for ~ --* ¢~ as basic elements.Where the asymptotic expansion for x --~ o0 is used, sequences are started by two evaluations of the expansion followed by backward recursion in IBESS and forward recursion in JBESS for p _ O, p >__ O. ACM Trans.Math.Software 3, 1 (March 1977), 93-95.