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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=4/3, b>=a > For fixed z and a=4/3, b=14/3





http://functions.wolfram.com/07.23.03.7996.01









  


  








Input Form





Hypergeometric2F1[4/3, 14/3, -(5/2), z] == (1/(207360 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((207360 - 2290176 z + 13393920 z^2 - 84502528 z^3 - 173726165 z^4 + 6003414 z^5 - 979064 z^6 + 87584 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (69120 - 714752 z + 3966976 z^2 + 72581503 z^3 + 5546726 z^4 - 935272 z^5 + 87584 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