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





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, 9/2, z] == (1/(138567 z^(7/2))) (8 (Sqrt[1 - Sqrt[z]] (40 + 20 Sqrt[z] + 148 z + 79 z^(3/2) + 518 z^2 + 280 z^(5/2) + 3360 z^3 + 10416 z^(7/2) - 7392 z^4 - 14784 z^(9/2)) + Sqrt[1 + Sqrt[z]] (-40 + 20 Sqrt[z] - 148 z + 79 z^(3/2) - 518 z^2 + 280 z^(5/2) - 3360 z^3 + 10416 z^(7/2) + 7392 z^4 - 14784 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