SLATEC Routines --- CACAI ---

*DECK CACAI
      SUBROUTINE CACAI (Z, FNU, KODE, MR, N, Y, NZ, RL, TOL, ELIM, ALIM)
C***BEGIN PROLOGUE  CACAI
C***SUBSIDIARY
C***PURPOSE  Subsidiary to CAIRY
C***LIBRARY   SLATEC
C***TYPE      ALL (CACAI-A, ZACAI-A)
C***AUTHOR  Amos, D. E., (SNL)
C***DESCRIPTION
C
C     CACAI APPLIES THE ANALYTIC CONTINUATION FORMULA
C
C         K(FNU,ZN*EXP(MP))=K(FNU,ZN)*EXP(-MP*FNU) - MP*I(FNU,ZN)
C                 MP=PI*MR*CMPLX(0.0,1.0)
C
C     TO CONTINUE THE K FUNCTION FROM THE RIGHT HALF TO THE LEFT
C     HALF Z PLANE FOR USE WITH CAIRY WHERE FNU=1/3 OR 2/3 AND N=1.
C     CACAI IS THE SAME AS CACON WITH THE PARTS FOR LARGER ORDERS AND
C     RECURRENCE REMOVED. A RECURSIVE CALL TO CACON CAN RESULT IF CACON
C     IS CALLED FROM CAIRY.
C
C***SEE ALSO  CAIRY
C***ROUTINES CALLED  CASYI, CBKNU, CMLRI, CS1S2, CSERI, R1MACH
C***REVISION HISTORY  (YYMMDD)
C   830501  DATE WRITTEN
C   910415  Prologue converted to Version 4.0 format.  (BAB)
C***END PROLOGUE  CACAI