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Re: What is QGamma[q,z]

• To: mathgroup at smc.vnet.net
• Subject: [mg95661] Re: What is QGamma[q,z]
• From: "Ted Ersek" <ersekt at md.metrocast.net>
• Date: Sat, 24 Jan 2009 06:18:49 -0500 (EST)
• References: <200901201047.FAA16820@smc.vnet.net> <4975EB8E.6000803@math.umass.edu>

I had trouble with this because the only definitions I could find involved 
things like
    Subscript[(q;q), Infinity]
and I had no idea what that was.

I have since learned that this is called a q-series as defined at
http://mathworld.wolfram.com/q-Series.html

I often look (out of curiosity) at the definition of special functions in 
Mathematica. In almost every case I can see that a function is the solution 
to a certain differential equation, a definite integral, or something else I 
am familiar with.

Even the very general AppellF1 function is defined as a double infinite 
series, and I know what that is.

-----------
Ted Ersek

• References:
  • What is QGamma[q,z]
    • From: "Ted Ersek" <ersekt@md.metrocast.net>