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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=37/8





http://functions.wolfram.com/07.23.03.bc62.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, 11/2, -z] == (1/(4838528695 z^(9/2))) (1024 (2 Sqrt[z] (24864 - 9916 z + 16169 z^2 - 51615 z^3 + 2844087 z^4 + 13849611 z^5 + 26002656 z^6 + 24337200 z^7 + 11424000 z^8 + 2154240 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((66304 + 30192 z + 18315 z^2 - 98753 z^3 + 1163835 z^4 + 15304581 z^5 + 48877278 z^6 + 73755792 z^7 + 59559840 z^8 + 25002240 z^9 + 4308480 z^10) Sinh[(3 ArcSinh[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