Status: Valid
Owner: li.david...@gmail.com
Labels: Type-Enhancement Priority-Medium Gamma
New issue 3847 by someb...@bluewin.ch: Derivatives of special functions,
step by step
http://code.google.com/p/sympy/issues/detail?id=3847
Currently the sympy gamma step by step integrator gives up on special
functions:
http://www.sympygamma.com/input/?i=diff%28fresnels%28x%29%2Cx%29
An idea would be to add a "table lookup" step. Then
is could print out something like this:
1.) Look up the definition of the special function "fresnels(x)".
It is defined as: ...
From the definition we get the following derivative: ...
The derivative can "in the back" be computed by sympy.
With that artificial step, gamma could show a step by step solution
to, for example:
diff(fresnels(x + cosh(x)), x)
as:
1.) The definition of fresnels(x) is ...
Its derivative is therefore: ...
2.) Apply the chain rule ...
3.) "Normal" step by step computation for x + cosh(x)
follows here ...
http://www.sympygamma.com/input/?i=diff%28fresnels%28x+%2B+cosh%28x%29%29%2C+x%29
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