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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=-35/8





http://functions.wolfram.com/07.23.03.b676.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(35/8), 3/2, z] == (1/17393635) (4 (-2 (-2518235 - 55629210 z - 238664265 z^2 - 282635708 z^3 - 92364861 z^4 - 5608458 z^5 + 40641 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[(-(-1 + z)) z]) ((917415 + 50808840 z + 267702925 z^2 + 142797298 z^3 - 291550655 z^4 - 159499548 z^5 - 11257557 z^6 + 81282 z^7) 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