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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=8/3





http://functions.wolfram.com/07.23.03.4797.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 8/3, 11/2, z] == (6561 (Sqrt[z] (-2467584 + 14009088 z - 24371200 z^2 - 574464 z^3 + 196594431 z^4 - 573806643 z^5 + 806196004 z^6 - 664866800 z^7 + 330224128 z^8 - 92065792 z^9 + 11128832 z^10) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (7402752 - 39833856 z + 62285824 z^2 + 15510528 z^3 + 74393088 z^4 - 339274155 z^5 + 571869132 z^6 - 530801648 z^7 + 288364544 z^8 - 86501376 z^9 + 11128832 z^10) Sin[ArcSin[Sqrt[z]]/3]))/ (1430505050975 Sqrt[1 - z] z^(9/2))










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