jacobi.g.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 $k$ Jacobi polynomial, G_k ( {p,q,x} ), and for orders $k$ = 0, 1, ... , $n$.
jacobi.g.recurrences(n, p, q, normalized=FALSE)
n |
integer highest polynomial order |
p |
first polynomial parameter |
q |
second polynomial parameter |
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)
jacobi.g.inner.products
,
pochhammer
normalized.r <- jacobi.g.recurrences( 10, 3, 2, normalized=TRUE ) unnormalized.r <- jacobi.g.recurrences( 10, 3, 2, normalized=FALSE )