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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=-13/8, b>=a > For fixed z and a=-13/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 37/8, -(11/2), z] == (1/(9146368 (1 - z)^(17/2))) (Sqrt[1 - z] (9146368 - 63245056 z + 177321312 z^2 - 243227031 z^3 + 133738836 z^4 + 30395190 z^5 + 44579612 z^6 - 119087399 z^7 + 96357672 z^8 - 36266032 z^9 + 5430208 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (6859776 - 48434176 z + 139283172 z^2 - 197937441 z^3 + 117528068 z^4 + 18237114 z^5 + 94133112 z^6 - 163072369 z^7 + 113811912 z^8 - 38981136 z^9 + 5430208 z^10) 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