slegendre.recurrences {orthopolynom} | R Documentation |
This function returns a data frame with $n$+1 rows and four named columns containing the coefficient vectors c, d, e and f of the recurrence relations for the order $k$ shifted Legendre polynomial, P_k^* ( x ), and for orders $k$ = 0, 1, ... , $n$.
slegendre.recurrences(n, normalized=FALSE)
n |
integer highest polynomial order |
normalized |
boolean value which, if TRUE, returns recurrence relations for normalized polynomials |
A data frame with the recurrence relation parameters.
Frederick Novomestky fnovomes@poly.edu
Abramowitz and Stegun (1968)
normalized.r <- slegendre.recurrences( 10, normalized=TRUE ) unnormalized.r <- slegendre.recurrences( 10, normalized=FALSE )