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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=11/3





http://functions.wolfram.com/07.23.03.7954.01









  


  










Input Form





Hypergeometric2F1[4/3, 11/3, -(7/2), z] == (1/(2177280 (-1 + z)^8)) ((1/Sqrt[1 - z]) ((2177280 - 21669120 z + 103032832 z^2 - 336700416 z^3 + 1282563584 z^4 + 1656900593 z^5 - 28438212 z^6 + 1995664 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (725760 - 6712320 z + 29676544 z^2 - 91838464 z^3 - 793027539 z^4 - 27440380 z^5 + 1995664 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