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Science Forum Index » Math - Symbolic Forum » An exact simplification challenge - 16
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Message |
| Vladimir Bondarenko |
 Posted: Sat Jun 02, 2007 8:34 am |
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Guest
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Hello computer algebra buffs,
Is there an soul who can come up with a sequence
of a CAS commands comressing this lengthy elliptic
expression
sqrt(sqrt(-Pi)*(
2*EllipticE(1/sqrt(2))
- 2*EllipticE(sqrt(2), 1/sqrt(2))
- EllipticK(1/sqrt(2))
+ EllipticF(sqrt(2),1/sqrt(2))
)
)
into a concise f(a) ?
Best wishes,
Vladimir Bondarenko
VM and GEMM architect
Co-founder, CEO, Mathematical Director
http://www.cybertester.com/ Cyber Tester, LLC
http://maple.bug-list.org/ Maple Bugs Encyclopaedia
http://www.CAS-testing.org/ CAS Testing |
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| dimitris |
| Posted: Sat Jun 02, 2007 10:30 am |
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Guest
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The result is Gamma(3/4)?
The method I used to find is not probably what you have in mind
but anyway...
o:=sqrt(sqrt(-Pi)*(
2*EllipticE(1/sqrt(2))
- 2*EllipticE(sqrt(2), 1/sqrt(2))
- EllipticK(1/sqrt(2))
+ EllipticF(sqrt(2),1/sqrt(2)))):
Re(evalf(o,30));
1.22541670246517764512909830337
After getting the last estimation go to
http://pi.lacim.uqam.ca/eng/
(Plouffe's Inverter!)
paste this value and get Gamma(3/4)
http://bootes.math.uqam.ca/cgi-bin/ipcgi/lookup.pl?Submit=GO+&number=1.22541670246517764512909830337&lookup_type=simple
evalf(GAMMA(3/4),30);
1.22541670246517764512909830336
Ok I steal but that's life!!!
Cheers
Dimitris
/ Vladimir Bondarenko :
Quote: Hello computer algebra buffs,
Is there an soul who can come up with a sequence
of a CAS commands comressing this lengthy elliptic
expression
sqrt(sqrt(-Pi)*(
2*EllipticE(1/sqrt(2))
- 2*EllipticE(sqrt(2), 1/sqrt(2))
- EllipticK(1/sqrt(2))
+ EllipticF(sqrt(2),1/sqrt(2))
)
)
into a concise f(a) ?
Best wishes,
Vladimir Bondarenko
VM and GEMM architect
Co-founder, CEO, Mathematical Director
http://www.cybertester.com/ Cyber Tester, LLC
http://maple.bug-list.org/ Maple Bugs Encyclopaedia
http://www.CAS-testing.org/ CAS Testing |
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| Back to top |
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