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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=-37/8, b>=a > For fixed z and a=-37/8, b=29/8





http://functions.wolfram.com/07.23.03.bc0s.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, 9/2, z] == (1/(596530935 z^(7/2))) (256 ((-Sqrt[z]) (-51504 - 24679 z - 59015 z^2 - 2820933 z^3 + 13183419 z^4 - 24032424 z^5 + 22014864 z^6 - 10167360 z^7 + 1893120 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((68672 - 25752 z + 48285 z^2 + 584785 z^3 - 7439121 z^4 + 23009283 z^5 - 33887256 z^6 + 26861904 z^7 - 11113920 z^8 + 1893120 z^9) Sin[(3 ArcSin[Sqrt[z]])/4])))








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