An exact simplification challenge - 66 (MeijerG)
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An exact simplification challenge - 66 (MeijerG)         


Author: Vladimir Bondarenko
Date: Jul 20, 2008 23:56

Hello,

MeijerG[{{-1, 0, 1/2}, {}}, {{-1/4, 0}, {-3/4}}, 1]

?
Best wishes,

Vladimir Bondarenko

Co-founder, CEO, Mathematical Director

http://www.cybertester.com/ Cyber Tester, LLC

------------------------------------------------------

"We must understand that technologies
like these are the way of the future."

------------------------------------------------------
5 Comments
Re: An exact simplification challenge - 66 (MeijerG)         


Author: Mate
Date: Jul 21, 2008 11:10

On Jul 21, 9:56 am, Vladimir Bondarenko cybertester.com> wrote:
> Hello,
>
> MeijerG[{{-1, 0, 1/2}, {}}, {{-1/4, 0}, {-3/4}}, 1]
>

You can try also:

MeijerG([[], []],[[89/55, 78/55, 67/55, 56/55, 9/11], []],10/7)
MeijerG([[], []],[[113/60, 101/60, 89/60, 77/60, 13/12], []],1/2)
MeijerG([[], []],[[93/85, 76/85, 59/85, 42/85, 5/17], []],2)
MeijerG([...
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Re: An exact simplification challenge - 66 (MeijerG)         


Author: Vladimir Bondarenko
Date: Jul 21, 2008 11:50

On Jul 21, 11:10 am, Mate wrote:
> On Jul 21, 9:56 am, Vladimir Bondarenko cybertester.com> wrote:
>
>> Hello,
>
>>   MeijerG[{{-1, 0, 1/2}, {}}, {{-1/4, 0}, {-3/4}}, 1]
>
> You can try also:
>
> MeijerG([[], []],[[89/55, 78/55, 67/55, 56/55, 9/11], []],10/7)
> MeijerG([[], []],[[113/60, 101/60, 89/60, 77/60, 13/12], []],1/2)
> MeijerG([[], []],[[93/85, 76/85, 59/85, 42/85, 5/17], []],2)
> MeijerG([[], []],[[73/60, 61/60, 49/60, 37/60, 5/12], []],4)
> MeijerG([[], []],[[53/60, 41/60, 29/60, 17/60, 1/12], []],9/14)
> MeijerG([[], []],[[5/3, 22/15, 19/15, 16/15, 13/15], []],17/9)
> MeijerG([[], []],[[138/85, 121/85, 104/85, 87/85, 14/17], []],4/3)
> MeijerG([[], []],[[93/85, 76/85, 59/85, 42/85, 5/17], []],2)
> MeijerG([[], []],[[37/15, 34/15, 31/15, 28/15, 5/3], []],1/4)
> MeijerG([[], []],[[71/45, 62/45, 53/45, 44/45, 7/9], []],1/9)
> MeijerG([[], []],[[88/85, 71/85, 54/85, 37/85, 4/17], []],9/5) ...
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Re: An exact simplification challenge - 66 (MeijerG)         


Date: Jul 21, 2008 13:38

Vladimir Bondarenko wrote:
> On Jul 21, 11:10 am, Mate wrote:
>> On Jul 21, 9:56 am, Vladimir Bondarenko cybertester.com> wrote:
>>
>>> Hello,
>>> MeijerG[{{-1, 0, 1/2}, {}}, {{-1/4, 0}, {-3/4}}, 1]
>> You can try also:
>>
... (various omitted)
>>
...
> But Mathematica 6.0.3 cannot simplify the Cyber Tester's one,
>

The (formal) problem is the argument x=1 as in most of the tasks.
Maple is far from good on MeijerG ... Instead of jumping into the
work (say: reading Adamchik, Marichev or the definitions and then
fighting with Mellin transforms) one can try to convert to sums
or hypergeometrics (finally approaching x=1).
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Re: An exact simplification challenge - 66 (MeijerG)         


Author: Vladimir Bondarenko
Date: Jul 21, 2008 19:08

On Jul 21, 11:50 am, Vladimir Bondarenko cybertester.com> wrote:
> On Jul 21, 11:10 am, Mate wrote:
>
>
>
>> On Jul 21, 9:56 am, Vladimir Bondarenko cybertester.com> wrote:
>
>>> Hello,
>
>>>   MeijerG[{{-1, 0, 1/2}, {}}, {{-1/4, 0}, {-3/4}}, 1]
>
>> You can try also:
>
>> MeijerG([[], []],[[89/55, 78/55, 67/55, 56/55, 9/11], []],10/7)

[skipped]
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Re: An exact simplification challenge - 66 (MeijerG)         


Author: Vladimir Bondarenko
Date: Jul 23, 2008 20:24

On Jul 20, 11:56 pm, Vladimir Bondarenko cybertester.com> wrote:
> Hello,
>
>   MeijerG[{{-1, 0, 1/2}, {}}, {{-1/4, 0}, {-3/4}}, 1]
>
>                             ?
> Best wishes,
>
> Vladimir Bondarenko
>
> Co-founder, CEO, Mathematical Director
>
> http://www.cybertester.com/ Cyber Tester, LLC
>
> ------------------------------------------------------
>
> "We must understand that technologies
> like these are the way of the future."
>
> ------------------------------------------------------ ...
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