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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=25/8





http://functions.wolfram.com/07.23.03.b818.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, 11/2, z] == (1/(456938536769 z^(9/2))) (512 ((1 + Sqrt[z])^(31/4) (-21960960 + 170197440 Sqrt[z] - 659417040 z + 1759719960 z^(3/2) - 3671742609 z^2 + 6334991856 z^(5/2) - 9231838560 z^3 + 11233031040 z^(7/2) - 10870675200 z^4 + 7780517888 z^(9/2) - 3771502592 z^5 + 1089454080 z^(11/2) - 140574720 z^6) + (1 - Sqrt[z])^(31/4) (21960960 + 170197440 Sqrt[z] + 659417040 z + 1759719960 z^(3/2) + 3671742609 z^2 + 6334991856 z^(5/2) + 9231838560 z^3 + 11233031040 z^(7/2) + 10870675200 z^4 + 7780517888 z^(9/2) + 3771502592 z^5 + 1089454080 z^(11/2) + 140574720 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