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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=9/8, b>=a > For fixed z and a=9/8, b=31/8





http://functions.wolfram.com/07.23.03.c2ik.01









  


  










Input Form





Hypergeometric2F1[9/8, 31/8, -(3/2), z] == (1/(368 (1 - z)^(13/2))) (Sqrt[1 - z] (368 - 3289 z + 23115 z^2 + 16289 z^3 - 3055 z^4 + 364 z^5) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (92 - 851 z + 121029 z^2 + 17771 z^3 - 3237 z^4 + 364 z^5) 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