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Topic: Inversion Lerch Phi
Replies: 38   Last Post: May 27, 2012 2:36 PM

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 did Posts: 73 Registered: 9/14/05
Re: Inversion Lerch Phi
Posted: Apr 15, 2012 3:38 PM

On 4/15/12 9:03 PM, Axel Vogt wrote:
> Would you mind to give "some special values with MMA" ? Would
> like to have a look and them check.

Here are some values on the branch cut:

z = Table[{3/2, 2, 5/2, 3, 10}]; a = 3/2;

FullSimplify[ HurwitzLerchPhi[z, 1, a] - HurwitzLerchPhi[1/z, 1, -a] -
1/a - (-1/z)^a*Pi/Sin[Pi*a] + Pi*2*I/z^a ]

and MMA 8 replies:

{0, 0, 0, 0, 0}

With a=1/2,-1/2,-3/2 I get the same answer.

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Date Subject Author
4/12/12 did
4/12/12 clicliclic@freenet.de
4/12/12 did
4/19/12 clicliclic@freenet.de
4/26/12 clicliclic@freenet.de
4/26/12 clicliclic@freenet.de
4/26/12 clicliclic@freenet.de
4/26/12 did
4/27/12 clicliclic@freenet.de
5/4/12 clicliclic@freenet.de
5/5/12 did
5/5/12 clicliclic@freenet.de
5/27/12 clicliclic@freenet.de
5/27/12 Axel Vogt
4/13/12 clicliclic@freenet.de
4/13/12 Axel Vogt
4/13/12 did
4/13/12 Axel Vogt
4/13/12 did
4/13/12 did
4/13/12 Axel Vogt
4/13/12 Axel Vogt
4/13/12 did
4/13/12 Axel Vogt
4/13/12 did
4/13/12 Axel Vogt
4/14/12 clicliclic@freenet.de
4/14/12 did
4/14/12 did
4/15/12 clicliclic@freenet.de
4/15/12 did
4/15/12 Axel Vogt
4/15/12 did
4/15/12 Axel Vogt
4/16/12 clicliclic@freenet.de
4/16/12 did
4/14/12 Axel Vogt
4/13/12 Axel Vogt
4/16/12 Joe keane