From: Vladimir Bondarenko on
Hello,

Mathematica:

PolyGamma[1, 1/6] + 9 PolyGamma[1, 1/3] -
9 PolyGamma[1, 2/3] - PolyGamma[1, 5/6] -
48 I Sqrt[3] PolyLog[2, ((2 + 3 I) - (1 + 2 I) Sqrt[3])/2] +
48 I Sqrt[3] PolyLog[2, (1 - 3/2 I) - (1/2 - I) Sqrt[3]]

Maple:

Psi(1,1/6)+9*Psi(1,1/3)-9*Psi(1,2/3)-Psi(1,5/6)-
48*I*sqrt(3)*polylog(2,1+3/2*I-(1/2+I)*sqrt(3))+
48*I*sqrt(3)*polylog(2,1-3/2*I+(-1/2+I)*sqrt(3))

Can you "elementarize" this ?

Cheers,

Vladimir Bondarenko

Co-founder, CEO, Mathematical Director

http://www.cybertester.com/ Cyber Tester Ltd.

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