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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=-37/8, b>=a > For fixed z and a=-37/8, b=31/8





http://functions.wolfram.com/07.23.03.bc1e.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 31/8, -(9/2), z] == (1/14837760) ((1/(1 - Sqrt[z])^(15/4)) (7418880 - 27820800 Sqrt[z] + 67800320 z - 133114800 z^(3/2) + 231126540 z^2 - 368382835 z^(5/2) + 554703696 z^3 - 798688800 z^(7/2) + 1118705280 z^4 - 1530144000 z^(9/2) + 2121799680 z^5 - 2402070528 z^(11/2) + 1581465600 z^6 - 421724160 z^(13/2)) + (1/(1 + Sqrt[z])^(15/4)) (7418880 + 27820800 Sqrt[z] + 67800320 z + 133114800 z^(3/2) + 231126540 z^2 + 368382835 z^(5/2) + 554703696 z^3 + 798688800 z^(7/2) + 1118705280 z^4 + 1530144000 z^(9/2) + 2121799680 z^5 + 2402070528 z^(11/2) + 1581465600 z^6 + 421724160 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