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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=-23/8, b>=a > For fixed z and a=-23/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 39/8, -(7/2), z] == -((1/(55552 (1 - z)^(11/2))) (Sqrt[1 - z] (-55552 + 57040 z + 65503 z^2 + 123938 z^3 + 639375 z^4 - 3496064 z^5 + 5116320 z^6 - 3156736 z^7 + 722304 z^8) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-3472 + 4650 z + 3441 z^2 + 6262 z^3 + 479237 z^4 - 1426194 z^5 + 1651100 z^6 - 879472 z^7 + 180576 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