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ultraspherical.weight <- function( x, alpha )
{
###
### This function returns the value of the weight function
### for the ultraspherical polynomial, Ck( alpha, x )
###
### Parameters
### x = the function argument
### alpha = the polynomial parameter
###
n <- length( x )
y <- rep( 0, n )
for ( i in 1:n ) {
log.y <- ( alpha - 0.5 ) * log( 1 - x[i] * x[i] )
y[i] <- exp( log.y )
}
return( y )
}
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