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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=14/3





http://functions.wolfram.com/07.23.03.7544.01









  


  










Input Form





Hypergeometric2F1[1/3, 14/3, -(11/2), z] == (1/(55427328 (-1 + z)^10)) ((1/Sqrt[1 - z]) ((55427328 - 600742656 z + 2974406400 z^2 - 8925340928 z^3 + 18251999744 z^4 - 27706629632 z^5 + 39774293504 z^6 - 4948282905 z^7 + 1465089512 z^8 - 281932896 z^9 + 25399360 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (18475776 - 187246080 z + 861122304 z^2 - 2382831616 z^3 + 4466767360 z^4 - 6247138304 z^5 - 4313525685 z^6 + 1333647824 z^7 - 269233216 z^8 + 25399360 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