1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Gauss summation formula

  1. Oct 10, 2011 #1
    Why is the Gauss summation formula for complex parameters a,b,c: [tex]\displaystyle _2 F_1 (a,b;c;1) = \frac{\Gamma (c) \Gamma (c-a-b)}{\Gamma (c-a) \Gamma (c-b)}[/tex] only valid for [itex]\text{Re}(c-a-b)>0,\;c\neq 0,-1,-2,-3,...[/itex]?
  2. jcsd
  3. Oct 10, 2011 #2
    It makes sense that [itex]c\neq 0,-1,-2,-3,...[/itex] so that [itex]\Gamma (c)[/itex] is defined but why does [itex]\text{Re}(c-a-b)[/itex] have to be positive?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook