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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=-17/3, b>=a > For fixed z and a=-17/3, b=14/3





http://functions.wolfram.com/07.23.03.4875.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 14/3, -(5/2), z] == -((1/(405 (-1 + z))) ((1/Sqrt[1 - z]) ((405 + 3654 z + 31277 z^2 + 558560 z^3 - 6356944 z^4 + 17555392 z^5 - 18604800 z^6 + 6809600 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (135 + 1313 z + 11360 z^2 - 2428048 z^3 + 10806592 z^4 - 15200000 z^5 + 6809600 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