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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=-35/8, b>=a > For fixed z and a=-35/8, b=17/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), 17/8, -(5/2), z] == (1/128) ((1/(1 + Sqrt[z])^(1/4)) (64 + 16 Sqrt[z] + 232 z + 63 z^(3/2) + 812 z^2 + 224 z^(5/2) + 5376 z^3 + 35584 z^(7/2) - 11264 z^4 - 45056 z^(9/2)) + (1/(1 - Sqrt[z])^(1/4)) (64 - 16 Sqrt[z] + 232 z - 63 z^(3/2) + 812 z^2 - 224 z^(5/2) + 5376 z^3 - 35584 z^(7/2) - 11264 z^4 + 45056 z^(9/2)))








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