Comment #26 on issue 2476 by [email protected]: nth order Derivative
http://code.google.com/p/sympy/issues/detail?id=2476
Instead of inventing new syntax for this, I wonder if it would be better to
instead create an object that can represent repeating an argument to a
function n times, where n is symbolic. This would allow us to represent
things like nth order integral as well. In general, it would let us
represent f(x, ..., x), where there are n x's, for symbolic n.
Objects would then need a way to define that they know how to represent n
repetitions of their arguments. For example, an nth derivative. Another
simple example is that Mul(x, ..., x) with n x's is just Pow(x, n). One
could even use this object to represent Knuth up arrow notation.
A similar idea is a function that represents n compositions of a function,
where n is symbolic (like f(...f(x)...)).
Any idea what to call these things, and how they should be implemented?
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