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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/07.23.03.7545.01









  


  










Input Form





Hypergeometric2F1[1/3, 14/3, -(11/2), -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) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + 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) Sinh[ArcSinh[Sqrt[z]]/3])/ (55427328 (1 + z)^(21/2))










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