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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=-39/8, b>=a > For fixed z and a=-39/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, -(1/2), z] == (1/13224) ((1/(1 - Sqrt[z])^(1/4)) (6612 - 1653 Sqrt[z] + 297540 z + 701600 z^(3/2) - 6721280 z^2 - 4885248 z^(5/2) + 29668352 z^3 + 9564160 z^(7/2) - 45219840 z^4 - 5570560 z^(9/2) + 22282240 z^5) + (1/(1 + Sqrt[z])^(1/4)) (6612 + 1653 Sqrt[z] + 297540 z - 701600 z^(3/2) - 6721280 z^2 + 4885248 z^(5/2) + 29668352 z^3 - 9564160 z^(7/2) - 45219840 z^4 + 5570560 z^(9/2) + 22282240 z^5))








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