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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=-43/8, b>=a > For fixed z and a=-43/8, b=9/8





http://functions.wolfram.com/07.23.03.b7t1.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 9/8, 7/2, z] == (1/(33544511 z^(5/2))) (32 ((1 + Sqrt[z])^(31/4) (-39216 + 303924 Sqrt[z] - 1046577 z + 2127468 z^(3/2) - 2745120 z^2 + 2277632 z^(5/2) - 1180928 z^3 + 349184 z^(7/2) - 45056 z^4) + (1 - Sqrt[z])^(31/4) (39216 + 303924 Sqrt[z] + 1046577 z + 2127468 z^(3/2) + 2745120 z^2 + 2277632 z^(5/2) + 1180928 z^3 + 349184 z^(7/2) + 45056 z^4)))








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