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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=5/8





http://functions.wolfram.com/07.23.03.b52m.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 5/8, -(9/2), z] == (1/129024) ((1/(1 + Sqrt[z])^(1/4)) (64512 + 16128 Sqrt[z] + 46592 z + 16688 z^(3/2) + 52212 z^2 + 19591 z^(5/2) + 71791 z^3 + 26124 z^(7/2) + 128352 z^4 + 43008 z^(9/2) + 467712 z^5 - 236544 z^(11/2) - 946176 z^6) + (1/(1 - Sqrt[z])^(1/4)) (64512 - 16128 Sqrt[z] + 46592 z - 16688 z^(3/2) + 52212 z^2 - 19591 z^(5/2) + 71791 z^3 - 26124 z^(7/2) + 128352 z^4 - 43008 z^(9/2) + 467712 z^5 + 236544 z^(11/2) - 946176 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