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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.b677.01









  


  








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) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (1/(Sqrt[z] Sqrt[1 + z])) ((-917415 + 50808840 z - 267702925 z^2 + 142797298 z^3 + 291550655 z^4 - 159499548 z^5 + 11257557 z^6 + 81282 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