subroutine beskes (xnu, x, nin, bke)
c july 1980 edition.   w. fullerton, c3, los alamos scientific lab.
      dimension bke(*)
      external  r1mach
      data alnbig / 0. /
c
      if (alnbig.eq.0.) alnbig = alog (r1mach(2))
c
      v = abs(xnu)
      n = iabs(nin)
c
      if (v.ge.1.) call seteru (29hbeskes  abs(xnu) must be lt 1, 29,
     1  1, 2)
      if (x.le.0.) call seteru (17hbeskes  x is le 0, 17, 2, 2)
      if (n.eq.0) call seteru (
     1  41hbeskes  n the number in the sequence is 0, 41, 3, 2)
c
      call r9knus (v, x, bke(1), bknu1, iswtch)
      if (n.eq.1) return
c
      vincr = sign (1.0, float(nin))
      direct = vincr
      if (xnu.ne.0.) direct = vincr*sign(1.0,xnu)
      if (iswtch.eq.1 .and. direct.gt.0.) call seteru (
     1  47hbeskes  x so small bessel k-sub-xnu+1 overflows, 47, 4, 2)
      bke(2) = bknu1
c
      if (direct.lt.0.) call r9knus (abs(xnu+vincr), x, bke(2), bknu1,
     1  iswtch)
      if (n.eq.2) return
c
      vend = abs(xnu+float(nin)) - 1.0
      if (x+(vend-0.5)*alog(vend)+.27 - vend*(alog(x)+.306).gt.alnbig)
     1  call seteru (67hbeskes  x so small or abs(nu) so big that bessel
     2 k-sub-nu overflows, 67, 5, 2)
c
      v = xnu
      do 10 i=3,n
        v = v + vincr
        bke(i) = 2.0*v*bke(i-1)/x + bke(i-2)
 10   continue
c
      return
      end