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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=-15/4, b>=a > For fixed z and a=-15/4, b=7/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 7/4, 9/2, z] == (1/(96135 z^(7/2))) (8 ((1 + Sqrt[z])^(13/2) (440 - 2860 Sqrt[z] + 8492 z - 15873 z^(3/2) + 21230 z^2 - 20020 z^(5/2) + 12320 z^3 - 4368 z^(7/2) + 672 z^4) - (1 - Sqrt[z])^(13/2) (440 + 2860 Sqrt[z] + 8492 z + 15873 z^(3/2) + 21230 z^2 + 20020 z^(5/2) + 12320 z^3 + 4368 z^(7/2) + 672 z^4)))








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