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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=33/8, b>=a > For fixed z and a=33/8, b=37/8





http://functions.wolfram.com/07.23.03.cc1s.01









  


  








Input Form





Hypergeometric2F1[33/8, 37/8, -(7/2), -z] == (1/(1792 (1 + z)^(97/8))) ((1792 + 31440 z + 294671 z^2 + 2248818 z^3 + 26840385 z^4 - 143797940 z^5 + 118389505 z^6 - 20171886 z^7 + 358863 z^8) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (112 + 1930 z + 17823 z^2 + 135135 z^3 - 21136258 z^4 + 39550992 z^5 - 15086285 z^6 + 1001031 z^7) 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