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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 3 and fixed z > For fixed z and a=7/3, b>=a > For fixed z and a=7/3, b=17/3





http://functions.wolfram.com/07.23.03.8383.01









  


  








Input Form





Hypergeometric2F1[7/3, 17/3, -(3/2), z] == (1/(442368 (-1 + z)^9)) ((1/Sqrt[1 - z]) ((-442368 + 8126464 z - 142000128 z^2 - 984199551 z^3 - 653934116 z^4 + 12049056 z^5 - 1426368 z^6 + 100096 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-147456 + 2605056 z + 248517757 z^2 + 326169764 z^3 + 11373408 z^4 - 1376320 z^5 + 100096 z^6) Sin[ArcSin[Sqrt[z]]/3])








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