CUNHJ(3)

SYNOPSIS
SUBROUTINE CUNHJ (Z, FNU, IPMTR, TOL, PHI, ARG, ZETA1, ZETA2, + ASUM, BSUM)

NAME
cunhj - Subsidiary to CBESI and CBESK

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 CUNHJ 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
CBESI, CBESK

ROUTINES CALLED
R1MACH

REVISION HISTORY (YYMMDD)
830501 DATE WRITTEN
910415 Prologue converted to Version 4.0 format. (BAB)