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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=-2/3, b>=a > For fixed z and a=-2/3, b=17/3





http://functions.wolfram.com/07.23.03.7231.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 17/3, -(9/2), z] == (1/(11757312 (-1 + z)^9)) ((1/Sqrt[1 - z]) ((-11757312 + 102477312 z - 383245056 z^2 + 773468160 z^3 - 786705920 z^4 - 277466112 z^5 + 473259753 z^6 - 377605904 z^7 + 175893696 z^8 - 45868992 z^9 + 5204992 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-3919104 + 31401216 z - 105952256 z^2 + 185529344 z^3 - 138733056 z^4 + 337506117 z^5 - 305233368 z^6 + 154911072 z^7 - 43266496 z^8 + 5204992 z^9) 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