SUBROUTINE INUE PURPOSE COMPUTE THE MODIFIED BESSEL FUNCTIONS I FOR ORDERS 1 TO N USAGE CALL INUE(X,N,ZI,RI) DESCRIPTION OF PARAMETERS X -GIVEN ARGUMENT OF THE BESSEL FUNCTIONS I N -GIVEN MAXIMUM ORDER OF BESSEL FUNCTIONS I ZI -GIVEN VALUE OF BESSEL FUNCTION I OF ORDER ZERO FOR ARGUMENT X RI -RESULTANT VECTOR OF DIMENSION N, CONTAINING THE VALUES OF THE FUNCTIONS I FOR ORDERS 1 TO N REMARKS THE VALUE OF ZI MAY BE CALCULATED USING SUBROUTINE I0. USING A DIFFERENT VALUE HAS THE EFFECT THAT ALL VALUES OF BESSEL FUNCTIONS I ARE MULTIPLIED BY THE FACTOR ZI/I(0,X) WHERE I(0,X) IS THE VALUE OF I FOR ORDER 0 AND ARGUMENT X. THIS MAY BE USED DISADVANTAGEOUSLY IF ONLY THE RATIOS OF I FOR DIFFERENT ORDERS ARE REQUIRED. SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED NONE METHOD THE VALUES ARE OBTAINED USING BACKWARD RECURRENCE RELATION TECHNIQUE. THE RATIO I(N+1,X)/I(N,X) IS OBTAINED FROM A CONTINUED FRACTION. FOR REFERENCE SEE G. BLANCH,'NUMERICAL EVALUATION OF CONTINUED FRACTIONS', SIAM REVIEW, VOL.6,NO.4,1964,PP.383-421.