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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 8 and fixed z and a<0 > For fixed z and a=-33/8, b>=a > For fixed z and a=-33/8, b=-29/8





http://functions.wolfram.com/07.23.03.bdq5.01









  


  








Input Form





Hypergeometric2F1[-(33/8), -(29/8), 19/4, z] == (8 2^(3/4) (-6380 + 133545 z - 1662570 z^2 + 931999087 z^3 + 3199361400 z^4 + 2609640855 z^5 + 568297278 z^6 + 23880177 z^7 + (1/Sqrt[1 - z]) (6380 - 136735 z + 1728545 z^2 + 884432997 z^3 + 1737822669 z^4 - 898497309 z^5 - 1467533469 z^6 - 253629417 z^7 - 4193661 z^8)))/(14537976597 (1 + Sqrt[1 - z])^(3/4) 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