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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=-9/4, b>=a > For fixed z and a=-9/4, b=21/4





http://functions.wolfram.com/07.23.03.aeo0.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, 4, z] == (1/(15384915 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((-160 - 975 z - 6720 z^2 + 275072 z^3 - 650496 z^4 + 384384 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (160 - 160 Sqrt[z] + 1095 z - 1095 z^(3/2) + 7560 z^2 - 7560 z^(5/2) - 149072 z^3 + 149072 z^(7/2) + 192192 z^4 - 192192 z^(9/2)) 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