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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=39/8





http://functions.wolfram.com/07.23.03.b76a.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 39/8, -(1/4), z] == (1/(568974 2^(1/4))) ((1 + Sqrt[1 - z])^(1/4) (284487 - 78155148 z + 746190848 z^2 - 2249501696 z^3 + 2679439360 z^4 - 1100742656 z^5 + (1/Sqrt[1 - z]) (284487 + 140457801 z - 1943130512 z^2 + 8465842944 z^3 - 16005283840 z^4 + 13744799744 z^5 - 4402970624 z^6)))








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