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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm1r.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, 3/2, z] == (1/(303025 Sqrt[z])) (2 ((1/(1 + Sqrt[z])^(3/4)) (24453 + 94096 Sqrt[z] - 614112 z - 1153920 z^(3/2) + 2126080 z^2 + 3176448 z^(5/2) - 1757184 z^3 - 2342912 z^(7/2)) + (1/(1 - Sqrt[z])^(3/4)) (-24453 + 94096 Sqrt[z] + 614112 z - 1153920 z^(3/2) - 2126080 z^2 + 3176448 z^(5/2) + 1757184 z^3 - 2342912 z^(7/2))))








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