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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, 7/2, z] == (1/(2632552923 z^(5/2))) (32 ((1 + Sqrt[z])^(7/4) (11408 - 19964 Sqrt[z] + 178963 z - 299460 z^(3/2) + 3764640 z^2 + 34752256 z^(5/2) - 113521408 z^3 - 80098304 z^(7/2) + 389509120 z^4 - 93716480 z^(9/2) - 328007680 z^5 + 187432960 z^(11/2)) + (1 - Sqrt[z])^(7/4) (-11408 - 19964 Sqrt[z] - 178963 z - 299460 z^(3/2) - 3764640 z^2 + 34752256 z^(5/2) + 113521408 z^3 - 80098304 z^(7/2) - 389509120 z^4 - 93716480 z^(9/2) + 328007680 z^5 + 187432960 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