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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=11/3





http://functions.wolfram.com/07.23.03.8297.01









  


  










Input Form





Hypergeometric2F1[7/3, 11/3, -(11/2), z] == (1/(40310784 (-1 + z)^11)) ((1/Sqrt[1 - z]) ((-40310784 + 528519168 z - 3291770880 z^2 + 13164806144 z^3 - 39393011712 z^4 + 104208715776 z^5 - 407514652672 z^6 - 788289260325 z^7 - 144994909116 z^8 + 349604048 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-13436928 + 166717440 z - 980969472 z^2 + 3710261248 z^3 - 10589511680 z^4 + 27536330752 z^5 + 307625709935 z^6 + 93952718108 z^7 + 349604048 z^8) 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