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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=-15/8, b>=a > For fixed z and a=-15/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 47/8, -(3/2), z] == -((1/(148304 (1 - z)^(11/2))) (Sqrt[1 - z] (-148304 - 342953 z - 2576782 z^2 + 21354311 z^3 - 49017760 z^4 + 52239968 z^5 - 27073024 z^6 + 5537664 z^7) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-9269 - 18538 z - 2371399 z^2 + 10202236 z^3 - 18024930 z^4 + 16271068 z^5 - 7460464 z^6 + 1384416 z^7) 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