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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=1/3, b>=a > For fixed z and a=1/3, b=8/3





http://functions.wolfram.com/07.23.03.7464.01









  


  








Input Form





Hypergeometric2F1[1/3, 8/3, -(9/2), z] == (1/(1837080 (-1 + z)^7)) ((1/Sqrt[1 - z]) ((-1837080 + 14243040 z - 48506400 z^2 + 95624384 z^3 - 123110288 z^4 + 130552320 z^5 - 8855759 z^6 + 997832 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-612360 + 4316760 z - 13178120 z^2 + 22910008 z^3 - 25779960 z^4 - 8356843 z^5 + 997832 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