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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=-43/8, b>=a > For fixed z and a=-43/8, b=1/8





http://functions.wolfram.com/07.23.03.b7pg.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 1/8, 9/2, z] == (1/(3062134647 z^(7/2))) (128 ((1 + Sqrt[z])^(39/4) (-13760 + 134160 Sqrt[z] - 556248 z + 1216943 z^(3/2) - 1390620 z^2 + 939120 z^(5/2) - 385280 z^3 + 89856 z^(7/2) - 9216 z^4) + (1 - Sqrt[z])^(39/4) (13760 + 134160 Sqrt[z] + 556248 z + 1216943 z^(3/2) + 1390620 z^2 + 939120 z^(5/2) + 385280 z^3 + 89856 z^(7/2) + 9216 z^4)))








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