c0lgmc.f
COMPLEX FUNCTION C0LGMC (Z)
C***BEGIN PROLOGUE C0LGMC
C***PURPOSE Evaluate (Z+0.5)*LOG((Z+1.)/Z) - 1.0 with relative
C accuracy.
C***LIBRARY SLATEC (FNLIB)
C***CATEGORY C7A
C***TYPE COMPLEX (C0LGMC-C)
C***KEYWORDS FNLIB, GAMMA FUNCTION, SPECIAL FUNCTIONS
C***AUTHOR Fullerton, W., (LANL)
C***DESCRIPTION
C
C Evaluate (Z+0.5)*LOG((Z+1.0)/Z) - 1.0 with relative error accuracy
C Let Q = 1.0/Z so that
C (Z+0.5)*LOG(1+1/Z) - 1 = (Z+0.5)*(LOG(1+Q) - Q + Q*Q/2) - Q*Q/4
C = (Z+0.5)*Q**3*C9LN2R(Q) - Q**2/4,
C where C9LN2R is (LOG(1+Q) - Q + 0.5*Q**2) / Q**3.
C
C***REFERENCES (NONE)
C***ROUTINES CALLED C9LN2R, R1MACH
C***REVISION HISTORY (YYMMDD)
C 780401 DATE WRITTEN
C 890531 Changed all specific intrinsics to generic. (WRB)
C 890531 REVISION DATE from Version 3.2
C 891214 Prologue converted to Version 4.0 format. (BAB)
C***END PROLOGUE C0LGMC