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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=-5/8, b>=a > For fixed z and a=-5/8, b=39/8





http://functions.wolfram.com/07.23.03.bv67.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 39/8, 11/2, z] == (1/(27332855 z^(9/2))) (512 ((-(1 - Sqrt[z])^(5/4)) (8960 + 11200 Sqrt[z] + 17520 z + 19800 z^(3/2) + 27003 z^2 + 29700 z^(5/2) + 40880 z^3 + 44800 z^(7/2) + 80640 z^4 + 64512 z^(9/2)) + (1/(1 + Sqrt[z])^(3/4)) (8960 + 6720 Sqrt[z] + 4080 z + 4040 z^(3/2) + 4923 z^2 + 4506 z^(5/2) + 8483 z^3 + 7260 z^(7/2) + 31920 z^4 + 51968 z^(9/2) - 48384 z^5 - 64512 z^(11/2))))








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