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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=47/8





http://functions.wolfram.com/07.23.03.bm7g.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, 3/2, z] == (1/(60605 Sqrt[z])) (2 ((1/(1 + Sqrt[z])^(7/4)) (4389 + 22832 Sqrt[z] - 118048 z - 404096 z^(3/2) + 295680 z^2 + 1419264 z^(5/2) + 315392 z^3 - 1261568 z^(7/2) - 720896 z^4) + (1/(1 - Sqrt[z])^(7/4)) (-4389 + 22832 Sqrt[z] + 118048 z - 404096 z^(3/2) - 295680 z^2 + 1419264 z^(5/2) - 315392 z^3 - 1261568 z^(7/2) + 720896 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