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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=-45/8, b>=a > For fixed z and a=-45/8, b=-25/8





http://functions.wolfram.com/07.23.03.b6b1.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(25/8), 11/4, z] == (1/(1134168387 z^2)) (2 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (2 (-80475 + 3862800 z + 261244107 z^2 + 1230961962 z^3 + 1286525083 z^4 + 285808844 z^5 - 196075 z^6 + 7130 z^7) + (1/Sqrt[1 - z]) (160950 - 7806075 z - 235103436 z^2 - 511359873 z^3 + 268681606 z^4 + 439634403 z^5 + 47343200 z^6 - 1607815 z^7 + 57040 z^8)))










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