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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 4 and fixed z > For fixed z and a=-21/4, b>=a > For fixed z and a=-21/4, b=5/4





http://functions.wolfram.com/07.23.03.a8kn.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 5/4, 9/2, z] == (1/(1341153 z^(7/2))) (8 ((1 + Sqrt[z])^(17/2) (1768 - 15028 Sqrt[z] + 57460 z - 131495 z^(3/2) + 201110 z^2 - 210392 z^(5/2) + 148512 z^3 - 67632 z^(7/2) + 17952 z^4 - 2112 z^(9/2)) - (1 - Sqrt[z])^(17/2) (1768 + 15028 Sqrt[z] + 57460 z + 131495 z^(3/2) + 201110 z^2 + 210392 z^(5/2) + 148512 z^3 + 67632 z^(7/2) + 17952 z^4 + 2112 z^(9/2))))








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