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Series on HypergeometricPFQ

  • To: mathgroup at smc.vnet.net
  • Subject: [mg126351] Series on HypergeometricPFQ
  • From: Yi Wang <tririverwangyi at gmail.com>
  • Date: Thu, 3 May 2012 04:37:21 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi, all

I encountered errors when doing the following expansion:

Series[HypergeometricPFQ[{a, a}, {b, c, d}, x], {x, \[Infinity], 0}]

The error message is:

Table::iterb: "Iterator {K3,0,Ceiling[-Re[a]]} does not have appropriate bounds. "

Any idea what's wrong in the above expansion? Many thanks!

--- work around ---

Alternatively, I could first add a small eps factor in the expansion, and eventually take it to zero:

Series[HypergeometricPFQ[{a, a+eps}, {b, c, d}, x], {x, \[Infinity], 0}]

The result looks reasonable. However it is very complicated and unnatural for a large expression. 




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