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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=37/8





http://functions.wolfram.com/07.23.03.bfm2.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, -(11/2), z] == (1/18292736) ((1/(1 - Sqrt[z])^(25/4)) (9146368 - 57164800 Sqrt[z] + 179861248 z - 398854400 z^(3/2) + 715242080 z^2 - 1105136060 z^(5/2) + 1520979675 z^3 - 1894518960 z^(7/2) + 2145726240 z^4 - 2193699200 z^(9/2) + 1978473728 z^5 - 1486284800 z^(11/2) + 832319488 z^6 - 292864000 z^(13/2) + 46858240 z^7) + (1/(1 + Sqrt[z])^(25/4)) (9146368 + 57164800 Sqrt[z] + 179861248 z + 398854400 z^(3/2) + 715242080 z^2 + 1105136060 z^(5/2) + 1520979675 z^3 + 1894518960 z^(7/2) + 2145726240 z^4 + 2193699200 z^(9/2) + 1978473728 z^5 + 1486284800 z^(11/2) + 832319488 z^6 + 292864000 z^(13/2) + 46858240 z^7))








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