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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=31/8





http://functions.wolfram.com/07.23.03.bc2i.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 31/8, 9/2, z] == (1/(1055400885 z^(7/2))) (128 ((1 + Sqrt[z])^(21/4) (68672 - 360528 Sqrt[z] + 1210344 z - 3162131 z^(3/2) + 7262064 z^2 - 15142176 z^(5/2) + 31726464 z^3 - 61814016 z^(7/2) + 86575104 z^4 - 73936896 z^(9/2) + 34062336 z^5 - 6488064 z^(11/2)) - (1 - Sqrt[z])^(21/4) (68672 + 360528 Sqrt[z] + 1210344 z + 3162131 z^(3/2) + 7262064 z^2 + 15142176 z^(5/2) + 31726464 z^3 + 61814016 z^(7/2) + 86575104 z^4 + 73936896 z^(9/2) + 34062336 z^5 + 6488064 z^(11/2))))








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