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The Maxima on-line user's manual

Algebra Calculator

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Orthopoly_weight Calculator

Orthopoly_weight

Function: orthopoly_weight (<f>, <args>) 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,

w : orthopoly_weight (hermite, [n, x]);
 integrate(w[1]*hermite(3, x)*hermite(2, x), x, w[2], w[3]);

          (%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 isnt, Maxima signals an error.

(%o1)                                true
(%i2) 

Orthopoly_weight Example

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