On 16.08.2012 15:16, someone wrote:
This holds:

   ╭─╮1, 1 ⎛1  3 │   ⎞   ╭─╮1, 1 ⎛1  3 │  ⎞   ╭─╮0, 2 ⎛3, 1       │   ⎞   ╭─╮0, 
2 ⎛3, 1       │  ⎞
   │╶┐     ⎜     │ -1⎟   │╶┐     ⎜     │ 1⎟   │╶┐     ⎜           │ -1⎟   │╶┐   
  ⎜           │ 1⎟
   ╰─╯2, 2 ⎝2  0 │   ⎠   ╰─╯2, 2 ⎝2  0 │  ⎠   ╰─╯2, 2 ⎝      2, 0 │   ⎠   ╰─╯2, 
2 ⎝      2, 0 │  ⎠
- ─────────────────── + ────────────────── - ───────────────────────── + 
────────────────────────
            2                    2                        2                     
     2

= 0

But sympy can not do it. (I don't remember where I encountered
these G functions but they arose from a computation within sympy.)

What should we add to be able to simplify this expression?



I don't know. In general, we are not good at simplifying sums of hypergeometric/meijerg functions (that is, there is no code for it).

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