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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.a8kd.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 5/4, 2, z] == -((1/(348075 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((13923 - 192701 z + 555705 z^2 - 796215 z^3 + 625800 z^4 - 259056 z^5 + 44352 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-13923 + 13923 Sqrt[z] + 95240 z - 95240 z^(3/2) - 205815 z^2 + 205815 z^(5/2) + 213570 z^3 - 213570 z^(7/2) - 109200 z^4 + 109200 z^(9/2) + 22176 z^5 - 22176 z^(11/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])])))








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