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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=10/3, b>=a > For fixed z and a=10/3, b=17/3





http://functions.wolfram.com/07.23.03.8638.01









  


  








Input Form





Hypergeometric2F1[10/3, 17/3, -(1/2), z] == (1/(688128 (-1 + z)^9)) ((1/Sqrt[1 - z]) ((-688128 + 32571392 z + 508643795 z^2 + 935389664 z^3 + 287862160 z^4 - 2152064 z^5 + 100096 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-229376 - 91872633 z - 326667640 z^2 - 166470736 z^3 - 2102016 z^4 + 100096 z^5) 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