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MathGroup Archive 1999

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Integer Assumptions in Integrations

  • To: mathgroup at
  • Subject: [mg20153] Integer Assumptions in Integrations
  • From: "Will Cooper" <wcooper1 at>
  • Date: Sat, 2 Oct 1999 03:05:09 -0400
  • Organization: Time Warner Cable of San Diego, CA
  • Sender: owner-wri-mathgroup at

How can I set a variable assumption to be an integer in an integration 

e.g. The incomplete gamma function is defined as Gamma[a,q] =
Integrate[t^(a-1)*Exp[-t], {t, q, Infinity}]

I want to set the assumption that 'a' is always an Integer.

I don't want to round 'a' to the next lowest integer, i.e. 
Integrate[t^(Integer[a]-1)*Exp[-t], {t, q, Infinity}]

I just want to indicate that 'a' only assumes integer values.

Thanks for any assistance.

Will Cooper.

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