orthopolynom (version 1.0-2)

monic.polynomials: Create list of monic orthogonal polynomials

Description

This function returns a list with $n$+1 elements containing the order $k$ monic polynomials for orders $k$ = 0, 1 ,... ,$n$.

Usage

monic.polynomials(monic.recurrences)

Arguments

monic.recurrences

a data frame containing the parameters a and b

Value

• A list with $n$+1 polynomial objects
• 1
  order 0 monic orthogonal polynomial
• 2
  order 1 monic orthogonal polynomial
• ...
• n+1
  order $n$ monic orthogonal polynomial

References

Press, et al (1992)

See Also

monic.polynomial.recurrences

Examples

r <- chebyshev.t.recurrences( 10, normalized=TRUE )
m.r <- monic.polynomial.recurrences( r )
p.list <- monic.polynomials( m.r )