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Integration with hypergeometric function

  1. Jun 29, 2014 #1
    How to integrate:


    where [itex]_{2}F_{1}(...)[/itex] is the hypergeometric function, x is the independent variable and A, B, C, D, and E are constants.
  2. jcsd
  3. Jun 29, 2014 #2
    Can you write [tex]{}_2F_1(B,C;D;Ex^2)Ax[/tex] as a (power) series? Do you know how to integrate a power series?
  4. Jun 29, 2014 #3
    I am familiar with the power series method but I am trying first to find a simpler and more compact method.
  5. Jun 29, 2014 #4
    Since the hypergeometric function ##{}_2F_1## is defined as a power series, it is hard to imagine a solution that avoids it.
  6. Jun 29, 2014 #5
    One problem with the power series is that it is defined only for |x|<1.
  7. Jun 29, 2014 #6
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