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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=13/8





http://functions.wolfram.com/07.23.03.b6qc.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 13/8, 1/2, z] == (1/(38335 Sqrt[1 - z])) (Sqrt[1 - z] (38335 - 876366 z + 4214415 z^2 - 8713952 z^3 + 9101664 z^4 - 4752384 z^5 + 990080 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + 8 Sqrt[z] (31056 - 288077 z + 961504 z^2 - 1591577 z^3 + 1419262 z^4 - 655928 z^5 + 123760 z^6) 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