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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=-7/8, b>=a > For fixed z and a=-7/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 23/8, -(7/2), z] == (1/(1280 (-1 + z)^5)) ((-1280 + 5520 z - 8269 z^2 + 3250 z^3 + 4875 z^4 - 4472 z^5 + 1144 z^6) Cos[ArcSin[Sqrt[z]]/4] + (4 Sqrt[z] (-80 + 370 z - 614 z^2 + 325 z^3 + 1742 z^4 - 1261 z^5 + 286 z^6) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z])








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