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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=19/8





http://functions.wolfram.com/07.23.03.bj4s.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 19/8, -(7/2), z] == (1/39424) ((1/(1 - Sqrt[z])^(11/4)) (19712 - 54208 Sqrt[z] + 89232 z - 126808 z^(3/2) + 159797 z^2 - 190212 z^(5/2) + 208208 z^3 - 216832 z^(7/2) + 177408 z^4 - 64512 z^(9/2)) + (1/(1 + Sqrt[z])^(11/4)) (19712 + 54208 Sqrt[z] + 89232 z + 126808 z^(3/2) + 159797 z^2 + 190212 z^(5/2) + 208208 z^3 + 216832 z^(7/2) + 177408 z^4 + 64512 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