*DECK CRATI SUBROUTINE CRATI (Z, FNU, N, CY, TOL) C***BEGIN PROLOGUE CRATI C***SUBSIDIARY C***PURPOSE Subsidiary to CBESH, CBESI and CBESK C***LIBRARY SLATEC C***TYPE ALL (CRATI-A, ZRATI-A) C***AUTHOR Amos, D. E., (SNL) C***DESCRIPTION C C CRATI COMPUTES RATIOS OF I BESSEL FUNCTIONS BY BACKWARD C RECURRENCE. THE STARTING INDEX IS DETERMINED BY FORWARD C RECURRENCE AS DESCRIBED IN J. RES. OF NAT. BUR. OF STANDARDS-B, C MATHEMATICAL SCIENCES, VOL 77B, P111-114, SEPTEMBER, 1973, C BESSEL FUNCTIONS I AND J OF COMPLEX ARGUMENT AND INTEGER ORDER, C BY D. J. SOOKNE. C C***SEE ALSO CBESH, CBESI, CBESK C***ROUTINES CALLED (NONE) C***REVISION HISTORY (YYMMDD) C 830501 DATE WRITTEN C 910415 Prologue converted to Version 4.0 format. (BAB) C***END PROLOGUE CRATI