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padic[expansion] - p-adic expansion
Calling Sequence
expansion(ex, p, x, s)
expansion(ex, p, x)
Parameters
ex
-
rational function
p
irreducible (or square-free) polynomial or 1/x (or infinity)
x
independent variable
s
(optional) a positive integer
Description
This function computes the p-adic expansion of a rational function ex.
The parameter s sets the size of the resulting expression, where "size" means the number of terms of the p-adic expansion which will be printed. If omitted, it defaults to number 6.
A p-adic expansion is represented in Maple using the unevaluated function call PADIC() whose argument is another unevaluated function of the form p_adic() which has three arguments. The first argument is the polynomial p or 1/x. The second argument is the p-adic order at p. The third argument is the list of coefficients. For example,
represents the p-adic expansion
The print routine print/PADIC is used by the prettyprinter to format the p-adic expansion on screen.
The command with(padic,expansion) allows the use of the abbreviated form of this command.
Examples
See Also
padic, padic/functions, padic[lcoeffp], padic[orderp]
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