PolynomF (version 1.0-2)

integral: Integral and differential calculus on polynomials or lists of polynomials.

Description

Performs calculus operations on polynomial objects: differentiation and indefinite or definite integration.

Usage

# S3 method for polynom
integral(expr, limits = NULL, …)
# S3 method for polylist
integral(expr, …)
# S3 method for polynom
deriv(expr, …)
# S3 method for polylist
deriv(expr, …)

Arguments

expr

A polynom or polylist object.

limits

Either NULL, implying an indefinite integral, or a numeric (or complex) vector of length two, implying a definite integral between two fixed real of complex limits.

…

Not used, except in the case of integral.polylist where it may pass on common limits of integration to all integrals in the list.

Value

A polynom or numeric object giving the result of the calculus operation, or list of such results. If the result is polynom the list is a polylist.

Details

integral is a local generic function. The generic function deriv is already defined in the stats package.

References

None

Examples

# NOT RUN {
p <- poly.from.zeros(-2:5)
ip <- integral(p)
ipv <- integral(p, limits = c(-2, 5))

plot(polylist(p, deriv(p)))

x <- polynom()
H <- polylist(1, x)
for(n in 2:10)
    H[[n+1]] <- x * H[[n]] - (n-1)*H[[n-1]]

solve(deriv(H))

# }