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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=15/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 15/8, -(7/2), z] == (1/3584) ((1/(1 + Sqrt[z])^(3/4)) (1792 + 1344 Sqrt[z] + 4272 z + 3400 z^(3/2) + 8799 z^2 + 7140 z^(5/2) + 19936 z^3 + 16128 z^(7/2) + 80640 z^4 - 304128 z^(9/2) - 405504 z^5) + (1/(1 - Sqrt[z])^(3/4)) (1792 - 1344 Sqrt[z] + 4272 z - 3400 z^(3/2) + 8799 z^2 - 7140 z^(5/2) + 19936 z^3 - 16128 z^(7/2) + 80640 z^4 + 304128 z^(9/2) - 405504 z^5))








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