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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.bbmf.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 5/8, 11/2, z] == (1/(265374689195 z^(9/2))) (1024 (-2 Sqrt[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) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((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) Sin[(3 ArcSin[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