orthopoly_returns_intervals SciMax Toolbox outative

SciMax Toolbox >> orthopoly_weight

orthopoly_weight

Maxima Function

Calling Sequence

orthopoly_weight (f, args)

Description

Returns a three element list; the first element is the formula of the weight for the orthogonal polynomial family f with arguments given by the list args; the second and third elements give the lower and upper endpoints of the interval of orthogonality. For example,

(%i1) w : orthopoly_weight (hermite, [n, x]);
                            2
                         - x
(%o1)                 [%e    , - inf, inf]
(%i2) integrate(w[1]*hermite(3, x)*hermite(2, x), x, w[2], w[3]);
(%o2)                           0

The main variable of f must be a symbol; if it isn't, Maxima signals an error.

orthopoly_returns_intervals SciMax Toolbox outative