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The Maxima on-line user's manual

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Orthopoly_recur Calculator

Orthopoly_recur

Function: orthopoly_recur (<f>, <args>) Returns a recursion relation for the orthogonal function family <f> with arguments <args>. The recursion is with respect to the polynomial degree.

          (%i1) orthopoly_recur (legendre_p, [n, x]);
                          (2 n - 1) P     (x) x + (1 - n) P     (x)
                                     n - 1                 n - 2
          (%o1)   P (x) = -----------------------------------------
                   n                          n

The second argument to orthopoly_recur must be a list with the correct number of arguments for the function <f>; if it isnt, Maxima signals an error.

          (%i1) orthopoly_recur (jacobi_p, [n, x]);

Function jacobi_p needs 4 arguments, instead it received 2 -- an error. Quitting. To debug this try debugmode(true);

Additionally, when <f> isnt the name of one of the families of orthogonal polynomials, an error is signalled.

          (%i1) orthopoly_recur (foo, [n, x]);

A recursion relation for foo isnt known to Maxima -- an error. Quitting. To debug this try debugmode(true);

(%o1)                                true
(%i2) 

Orthopoly_recur Example

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