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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=-39/8, b>=a > For fixed z and a=-39/8, b=37/8





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









  


  










Input Form





Hypergeometric2F1[-(39/8), 37/8, 17/4, z] == (1/(1035006665 z^4)) (8 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (51336 + 245272 z + 1674837 z^2 + 47216286 z^3 - 332092467 z^4 + 799169184 z^5 - 911953152 z^6 + 505933824 z^7 - 110297088 z^8 - (1/Sqrt[1 - z]) (4 (12834 + 54901 z + 386446 z^2 + 11586250 z^3 - 105153804 z^4 + 330647901 z^5 - 521057856 z^6 + 446806272 z^7 - 200048640 z^8 + 36765696 z^9))))










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