QMOMO(3)

SYNOPSIS
SUBROUTINE QMOMO (ALFA, BETA, RI, RJ, RG, RH, INTEGR)

NAME
qmomo - This routine computes modified Chebyshev moments. The K-th modified Chebyshev moment is defined as the integral over (-1,1) of W(X)*T(K,X), where T(K,X) is the Chebyshev polynomial of degree K.

LIBRARY
SLATEC (QUADPACK)

CATEGORY
H2A2A1, C3A2

TYPE
SINGLE PRECISION (QMOMO-S, DQMOMO-D)

KEYWORDS
MODIFIED CHEBYSHEV MOMENTS, QUADPACK, QUADRATURE

AUTHOR
Piessens, Robert Applied Mathematics and Programming Division K. U. Leuven de Doncker, Elise Applied Mathematics and Programming Division K. U. Leuven

DESCRIPTION
MODIFIED CHEBYSHEV MOMENTS STANDARD FORTRAN SUBROUTINE REAL VERSION PARAMETERS ALFA - Real Parameter in the weight function W(X), ALFA.GT.(-1) BETA - Real Parameter in the weight function W(X), BETA.GT.(-1) RI - Real Vector of dimension 25 RI(K) is the integral over (-1,1) of (1+X)**ALFA*T(K-1,X), K = 1, ..., 25. RJ - Real Vector of dimension 25 RJ(K) is the integral over (-1,1) of (1-X)**BETA*T(K-1,X), K = 1, ..., 25. RG - Real Vector of dimension 25 RG(K) is the integral over (-1,1) of (1+X)**ALFA*LOG((1+X)/2)*T(K-1,X), K = 1, ..., 25. RH - Real Vector of dimension 25 RH(K) is the integral over (-1,1) of (1-X)**BETA*LOG((1-X)/2)*T(K-1,X), K = 1, ..., 25. INTEGR - Integer Input parameter indicating the modified Moments to be computed INTEGR = 1 compute RI, RJ = 2 compute RI, RJ, RG = 3 compute RI, RJ, RH = 4 compute RI, RJ, RG, RH

REFERENCES
(NONE)

ROUTINES CALLED
(NONE)

REVISION HISTORY (YYMMDD)
810101 DATE WRITTEN
891009 Removed unreferenced statement label. (WRB)
891009 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)