ZUNHJ(3)

SYNOPSIS
SUBROUTINE ZUNHJ (ZR, ZI, FNU, IPMTR, TOL, PHIR, PHII, ARGR, ARGI, + ZETA1R, ZETA1I, ZETA2R, ZETA2I, ASUMR, ASUMI, BSUMR, BSUMI)

NAME
zunhj - Subsidiary to ZBESI and ZBESK

LIBRARY
SLATEC

TYPE
ALL (CUNHJ-A, ZUNHJ-A)

AUTHOR
Amos, D. E., (SNL)

DESCRIPTION
REFERENCES HANDBOOK OF MATHEMATICAL FUNCTIONS BY M. ABRAMOWITZ AND I.A. STEGUN, AMS55, NATIONAL BUREAU OF STANDARDS, 1965, CHAPTER 9. ASYMPTOTICS AND SPECIAL FUNCTIONS BY F.W.J. OLVER, ACADEMIC PRESS, N.Y., 1974, PAGE 420 ABSTRACT ZUNHJ COMPUTES PARAMETERS FOR BESSEL FUNCTIONS C(FNU,Z) = J(FNU,Z), Y(FNU,Z) OR H(I,FNU,Z) I=1,2 FOR LARGE ORDERS FNU BY MEANS OF THE UNIFORM ASYMPTOTIC EXPANSION C(FNU,Z)=C1*PHI*( ASUM*AIRY(ARG) + C2*BSUM*DAIRY(ARG) ) FOR PROPER CHOICES OF C1, C2, AIRY AND DAIRY WHERE AIRY IS AN AIRY FUNCTION AND DAIRY IS ITS DERIVATIVE. (2/3)*FNU*ZETA**1.5 = ZETA1-ZETA2, ZETA1=0.5*FNU*CLOG((1+W)/(1-W)), ZETA2=FNU*W FOR SCALING PURPOSES IN AIRY FUNCTIONS FROM CAIRY OR CBIRY. MCONJ=SIGN OF AIMAG(Z), BUT IS AMBIGUOUS WHEN Z IS REAL AND MUST BE SPECIFIED. IPMTR=0 RETURNS ALL PARAMETERS. IPMTR= 1 COMPUTES ALL EXCEPT ASUM AND BSUM.

SEE ALSO
ZBESI, ZBESK

ROUTINES CALLED
D1MACH, ZABS, ZDIV, ZLOG, ZSQRT

REVISION HISTORY (YYMMDD)
830501 DATE WRITTEN
910415 Prologue converted to Version 4.0 format. (BAB)
930122 Added ZLOG and ZSQRT to EXTERNAL statement. (RWC)