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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=-29/8, b>=a > For fixed z and a=-29/8, b=31/8





http://functions.wolfram.com/07.23.03.bh0z.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 31/8, -(1/2), z] == (1/3128) ((1/(1 + Sqrt[z])^(3/4)) (1564 + 1173 Sqrt[z] + 43792 z - 484064 z^(3/2) - 954240 z^2 + 1990912 z^(5/2) + 2996224 z^3 - 1757184 z^(7/2) - 2342912 z^4) + (1/(1 - Sqrt[z])^(3/4)) (1564 - 1173 Sqrt[z] + 43792 z + 484064 z^(3/2) - 954240 z^2 - 1990912 z^(5/2) + 2996224 z^3 + 1757184 z^(7/2) - 2342912 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