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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=-47/8, b>=a > For fixed z and a=-47/8, b=47/8





http://functions.wolfram.com/07.23.03.b5sq.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, -(7/2), -z] == (1/(1792 (1 + z)^(7/2))) (Sqrt[1 + z] (1792 - 12240 z + 70415 z^2 - 496793 z^3 + 8159664 z^4 + 114065208 z^5 + 392451840 z^6 + 583752960 z^7 + 402038784 z^8 + 105412608 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - 4 Sqrt[z] (112 - 730 z + 4147 z^2 - 29564 z^3 + 9949521 z^4 + 64582938 z^5 + 160165440 z^6 + 192898944 z^7 + 113686272 z^8 + 26353152 z^9) Sinh[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