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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





http://functions.wolfram.com/07.23.03.bje2.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 35/8, -(5/2), z] == (1/21888) ((1/(1 - Sqrt[z])^(15/4)) (10944 - 41040 Sqrt[z] + 116280 z - 257355 z^(3/2) + 542640 z^2 - 1034208 z^(5/2) + 2298240 z^3 - 5492480 z^(7/2) + 7956480 z^4 - 5591040 z^(9/2) + 1490944 z^5) + (1/(1 + Sqrt[z])^(15/4)) (10944 + 41040 Sqrt[z] + 116280 z + 257355 z^(3/2) + 542640 z^2 + 1034208 z^(5/2) + 2298240 z^3 + 5492480 z^(7/2) + 7956480 z^4 + 5591040 z^(9/2) + 1490944 z^5))








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