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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=14/3





http://functions.wolfram.com/07.23.03.8338.01









  


  










Input Form





Hypergeometric2F1[7/3, 14/3, -(9/2), z] == (1/(26873856 (-1 + z)^11)) ((1/Sqrt[1 - z]) ((-26873856 + 375570432 z - 2566103040 z^2 + 11892801536 z^3 - 46934519808 z^4 + 273635180544 z^5 + 793845121997 z^6 + 236486700660 z^7 - 1495115184 z^8 + 59507072 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-8957952 + 118886400 z - 772395008 z^2 + 3429527552 z^3 - 13286563840 z^4 - 270379084647 z^5 - 139452981380 z^6 - 1465361648 z^7 + 59507072 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