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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=-47/8, b>=a > For fixed z and a=-47/8, b=13/8





http://functions.wolfram.com/07.23.03.b580.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 13/8, 7/2, z] == (1/(38047929381 z^(5/2))) (32 ((1 + Sqrt[z])^(31/4) (-20910864 + 162059196 Sqrt[z] - 606850699 z + 1512552496 z^(3/2) - 2634768864 z^2 + 3160225152 z^(5/2) - 2535337728 z^3 + 1295788032 z^(7/2) - 381308928 z^4 + 49201152 z^(9/2)) + (1 - Sqrt[z])^(31/4) (20910864 + 162059196 Sqrt[z] + 606850699 z + 1512552496 z^(3/2) + 2634768864 z^2 + 3160225152 z^(5/2) + 2535337728 z^3 + 1295788032 z^(7/2) + 381308928 z^4 + 49201152 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