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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=5/8





http://functions.wolfram.com/07.23.03.bt65.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 5/8, -(9/2), -z] == (1/(9216 (1 + z)^(33/8))) (4 (2304 + 9152 z + 13447 z^2 + 8406 z^3 + 1508 z^4 - 377 z^5) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (2304 + 8432 z + 11001 z^2 + 5562 z^3 + 377 z^4) Sin[ArcTan[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