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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-13/8, b>=a > For fixed z and a=-13/8, b=39/8





http://functions.wolfram.com/07.23.03.bqpt.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 39/8, -(9/4), z] == (1/(17112 2^(1/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(1/4) (-8556 + 12121 z + 21390 z^2 - 159527 z^3 + 238252 z^4 - 147456 z^5 + 33792 z^6 + (1/Sqrt[1 - z]) (-8556 + 16399 z + 16399 z^2 + 466117 z^3 - 1250263 z^4 + 1347424 z^5 - 682752 z^6 + 135168 z^7)))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02