Comment #26 on issue 2476 by asmeu...@gmail.com: 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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