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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=37/8





http://functions.wolfram.com/07.23.03.b757.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 37/8, 9/2, -z] == (1/(4838528695 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-8880 + 37111 z - 212787 z^2 + 22032121 z^3 + 153701607 z^4 + 422678820 z^5 + 606164240 z^6 + 482680320 z^7 + 203216640 z^8 + 35425280 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (-11840 + 39368 z - 241055 z^2 + 3931287 z^3 + 69908847 z^4 + 312468517 z^5 + 676743140 z^6 + 824316400 z^7 + 579860480 z^8 + 220929280 z^9 + 35425280 z^10) 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