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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=-45/8, b>=a > For fixed z and a=-45/8, b=45/8





http://functions.wolfram.com/07.23.03.b7a6.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 45/8, 3/2, -z] == (1/2009) (4 (4 (134 + 3213 z + 22470 z^2 + 68416 z^3 + 102528 z^4 + 74496 z^5 + 20992 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((45 + 3237 z + 39872 z^2 + 190792 z^3 + 446720 z^4 + 548608 z^5 + 339968 z^6 + 83968 z^7) 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