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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=11/3





http://functions.wolfram.com/07.23.03.8554.01









  


  










Input Form





Hypergeometric2F1[10/3, 11/3, -(9/2), z] == (1/(26873856 (-1 + z)^11)) ((1/Sqrt[1 - z]) (9 (-2985984 + 42614784 z - 299278336 z^2 + 1440137216 z^3 - 6002470912 z^4 + 38181535744 z^5 + 128796310969 z^6 + 55305361948 z^7 + 3459329712 z^8) Cos[ArcSin[Sqrt[z]]/3]) - Sqrt[z] (8957952 - 121540608 z + 812994560 z^2 - 3757305856 z^3 + 15421497344 z^4 + 369374503555 z^5 + 257579880124 z^6 + 23442678352 z^7) 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