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Poissubst

Function: poissubst (<a>, <b>, <c>) Substitutes <a> for <b> in <c>. <c> is a Poisson series.

(1) Where <B> is a variable <u>, <v>, <w>, <x>, <y>, or <z>, then <a> must be an expression linear in those variables (e.g., 6*u + 4*v).

(2) Where <b> is other than those variables, then <a> must also be free of those variables, and furthermore, free of sines or cosines.

poissubst (<a>, <b>, <c>, <d>, <n>) is a special type of substitution which operates on <a> and <b> as in type (1) above, but where <d> is a Poisson series, expands cos(<d>) and sin(<d>) to order <n> so as to provide the result of substituting <a> + <d> for <b> in <c>. The idea is that <d> is an expansion in terms of a small parameter. For example, poissubst (u, v, cos(v), %e, 3) yields cos(u)*(1 - %e^2/2) -

     sin(u)*(%e - %e^3/6).

(%o1)                                true
(%i2) 

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poissubst

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poissubst

? poissubst;

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