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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=-3/8





http://functions.wolfram.com/07.23.03.b4z2.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(3/8), -(11/2), z] == (1/1892352) ((1/(1 + Sqrt[z])^(1/4)) (946176 + 236544 Sqrt[z] - 467712 z - 43008 z^(3/2) - 128352 z^2 - 26124 z^(5/2) - 71791 z^3 - 19591 z^(7/2) - 52212 z^4 - 16688 z^(9/2) - 46592 z^5 - 16128 z^(11/2) - 64512 z^6) + (1/(1 - Sqrt[z])^(1/4)) (946176 - 236544 Sqrt[z] - 467712 z + 43008 z^(3/2) - 128352 z^2 + 26124 z^(5/2) - 71791 z^3 + 19591 z^(7/2) - 52212 z^4 + 16688 z^(9/2) - 46592 z^5 + 16128 z^(11/2) - 64512 z^6))








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