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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=-37/8, b>=a > For fixed z and a=-37/8, b=23/8





http://functions.wolfram.com/07.23.03.bbx7.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 23/8, 5/2, z] == (1/(28176225 z^(3/2))) (8 ((1 + Sqrt[z])^(17/4) (55796 - 237133 Sqrt[z] + 1562288 z - 3530016 z^(3/2) - 6088320 z^2 + 33175296 z^(5/2) - 47781888 z^3 + 29872128 z^(7/2) - 7028736 z^4) + (1 - Sqrt[z])^(17/4) (-55796 - 237133 Sqrt[z] - 1562288 z - 3530016 z^(3/2) + 6088320 z^2 + 33175296 z^(5/2) + 47781888 z^3 + 29872128 z^(7/2) + 7028736 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