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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=29/8





http://functions.wolfram.com/07.23.03.b706.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 29/8, 9/2, -z] == (1/(4838528695 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-257520 + 136271 z - 374477 z^2 + 22548271 z^3 + 125260737 z^4 + 284182710 z^5 + 346137680 z^6 + 239308320 z^7 + 88976640 z^8 + 13882880 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 (-171680 - 55796 z - 166315 z^2 + 2212526 z^3 + 32044836 z^4 + 117972806 z^5 + 216178375 z^6 + 227768720 z^7 + 141030640 z^8 + 47959040 z^9 + 6941440 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