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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=-14/3, b>=a > For fixed z and a=-14/3, b=-13/3





http://functions.wolfram.com/07.23.03.5121.01









  


  










Input Form





Hypergeometric2F1[-(14/3), -(13/3), 9/2, z] == (243 ((-Sqrt[z]) (-35389440 + 918028288 z - 15096610816 z^2 - 2589602240895 z^3 - 7311105485297 z^4 + 800048194568 z^5 + 6880860404232 z^6 + 2130447562720 z^7 + 103565536640 z^8) Cos[ArcSin[Sqrt[z]]/3] + 3 Sqrt[1 - z] (-35389440 + 907542528 z - 14832369664 z^2 + 355316269056 z^3 + 4734714601287 z^4 + 10695687889352 z^5 + 6907814652936 z^6 + 1261138956960 z^7 + 43844620160 z^8) Sin[ArcSin[Sqrt[z]]/3]))/ (716654758261645 Sqrt[1 - z] z^(7/2))










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