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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=1/8, b>=a > For fixed z and a=1/8, b=23/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 23/8, -(11/2), z] == (1/(315392 (1 - z)^(17/2))) (Sqrt[1 - z] (315392 - 2553600 z + 9082080 z^2 - 18585747 z^3 + 24101032 z^4 - 20743026 z^5 + 13670020 z^6 - 3333811 z^7 + 390572 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (78848 - 663040 z + 2459548 z^2 - 5277289 z^3 + 7221016 z^4 - 6597014 z^5 + 15288104 z^6 - 3529097 z^7 + 390572 z^8) Sin[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