SUBROUTINE TLEP

PURPOSE
   A SERIES EXPANSION IN LEGENDRE POLYNOMIALS WITH INDEPENDENT
   VARIABLE X IS TRANSFORMED TO A POLYNOMIAL WITH INDEPENDENT
   VARIABLE Z, WHERE X=A*Z+B

USAGE
   CALL TLEP(A,B,POL,N,C,WORK)

DESCRIPTION OF PARAMETERS
   A	 - FACTOR OF LINEAR TERM IN GIVEN LINEAR TRANSFORMATION
   B	 - CONSTANT TERM IN GIVEN LINEAR TRANSFORMATION
   POL	 - COEFFICIENT VECTOR OF POLYNOMIAL (RESULTANT VALUE)
	   COEFFICIENTS ARE ORDERED FROM LOW TO HIGH
   N	 - DIMENSION OF COEFFICIENT VECTORS POL AND C
   C	 - GIVEN COEFFICIENT VECTOR OF EXPANSION
	   COEFFICIENTS ARE ORDERED FROM LOW TO HIGH
	   POL AND C MAY BE IDENTICALLY LOCATED
   WORK  - WORKING STORAGE OF DIMENSION 2*N

REMARKS
   COEFFICIENT VECTOR C REMAINS UNCHANGED IF NOT COINCIDING
   WITH COEFFICIENT VECTOR POL.
   OPERATION IS BYPASSED IN CASE N LESS THAN 1.
   THE LINEAR TRANSFORMATION X=A*Z+B OR Z=(1/A)(X-B) TRANSFORMS
   THE RANGE (-1,+1) IN X TO THE RANGE (ZL,ZR) IN Z, WHERE
   ZL=-(1+B)/A AND ZR=(1-B)/A.
   FOR GIVEN ZL, ZR WE HAVE A=2/(ZR-ZL) AND B=-(ZR+ZL)/(ZR-ZL)

SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
   NONE

METHOD
   THE TRANSFORMATION IS BASED ON THE RECURRENCE EQUATION
   FOR LEGENDRE POLYNOMIALS P(N,X)
   P(N+1,X)=2*X*P(N,X)-P(N-1,X)-(X*P(N,X)-P(N-1,X))/(N+1),
   WHERE THE FIRST TERM IN BRACKETS IS THE INDEX,
   THE SECOND IS THE ARGUMENT.
   STARTING VALUES ARE P(0,X)=1, P(1,X)=X.
   THE TRANSFORMATION IS IMPLICITLY DEFINED BY MEANS OF
   X=A*Z+B TOGETHER WITH
   SUM(POL(I)*Z**(I-1), SUMMED OVER I FROM 1 TO N)
   =SUM(C(I)*P(I-1,X), SUMMED OVER I FROM 1 TO N).