numerical evaluation of psi0

• Subject: numerical evaluation of psi0
• From: Barton Willis
• Date: Wed, 6 Feb 2008 20:04:06 -0600

I evaluated psi[0](1.78095) using  webMathematica, Maple 10, and Maxima
5.14.0 to 50
digits:

Created by webMathematica
0.27085244394958037219241274879122247322668078991599
Maple
0.27085617938915025987352993092362827661833339343790
Maxima
0.2708561793891502598735299309236282766183333934379b-1

(1) What's the story?

(2) Does anybody have a reference to how our psi function works? It
seems to use a modified asymptotic expansion.

(3) Does our psi function work in the complex plane? --- you do need
to rectform the output.

Barton

http://functions.wolfram.com/webMathematica/FunctionEvaluation.jsp?name=PolyGamma

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