Re: Power Series for LogIntegral
- To: mathgroup at smc.vnet.net
- Subject: [mg45222] Re: Power Series for LogIntegral
- From: vb at cybertester.com (Vladimir Bondarenko)
- Date: Sun, 21 Dec 2003 03:42:15 -0500 (EST)
- References: <bs1bgg$9n3$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
drbob at bigfoot.com (Bobby R. Treat) wrote in message news:<bs1bgg$9n3$1 at smc.vnet.net>...
BT> Why doesn't Series return a power series?
BT> Series[LogIntegral[x], {x, 0, 1}]
BT> SeriesData[x, 0, {6/Log[x]^4 + 2/Log[x]^3 + Log[x]^(-2) + Log[x]^
BT> (-1)}, 1, 2, 1]
Because a power series does not exist for LogIntegral[x]. As you know,
not all functions have simple (power) expansions like Sin[x] has.
Vladimir
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Vladimir Bondarenko
http://www.cybertester.com/
http://maple.bug-list.org/
http://www.CAS-testing.org/
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