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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, -(7/2), z] == (1/3845632) ((1/(1 - Sqrt[z])^(21/4)) (1922816 - 10094784 Sqrt[z] + 33426096 z - 86106104 z^(3/2) + 192280527 z^2 - 387477468 z^(5/2) + 735374112 z^3 - 1332511488 z^(7/2) + 2474664192 z^4 - 4440910848 z^(9/2) + 5992132608 z^5 - 5047713792 z^(11/2) + 2316238848 z^6 - 441188352 z^(13/2)) + (1/(1 + Sqrt[z])^(21/4)) (1922816 + 10094784 Sqrt[z] + 33426096 z + 86106104 z^(3/2) + 192280527 z^2 + 387477468 z^(5/2) + 735374112 z^3 + 1332511488 z^(7/2) + 2474664192 z^4 + 4440910848 z^(9/2) + 5992132608 z^5 + 5047713792 z^(11/2) + 2316238848 z^6 + 441188352 z^(13/2)))








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