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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=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, 1/2, z] == (1/363630) ((1/(1 + Sqrt[z])^(3/4)) (181815 - 4466004 Sqrt[z] - 13349328 z + 73713408 z^(3/2) + 143336704 z^2 - 318194688 z^(5/2) - 509558784 z^3 + 496893952 z^(7/2) + 711917568 z^4 - 254017536 z^(9/2) - 338690048 z^5) + (1/(1 - Sqrt[z])^(3/4)) (181815 + 4466004 Sqrt[z] - 13349328 z - 73713408 z^(3/2) + 143336704 z^2 + 318194688 z^(5/2) - 509558784 z^3 - 496893952 z^(7/2) + 711917568 z^4 + 254017536 z^(9/2) - 338690048 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