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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=-37/8, b>=a > For fixed z and a=-37/8, b=5/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 5/8, 11/2, -z] == (1024 (2 Sqrt[z] Sqrt[1 + z] (721056 + 7232020 z + 33523739 z^2 + 98764285 z^3 + 393876886 z^4 + 156761606 z^5 + 77157295 z^6 + 27231609 z^7 + 5886528 z^8 + 581808 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1922816 + 20927792 z + 105805311 z^2 + 339120577 z^3 + 927093460 z^4 + 928201938 z^5 + 384562967 z^6 + 180147293 z^7 + 60204294 z^8 + 12354864 z^9 + 1163616 z^10) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (265374689195 z^(9/2) Sqrt[1 + z])








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