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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=1/4





http://functions.wolfram.com/07.23.03.ae7i.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 1/4, 5, z] == (1/(134008875 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 ((-384 - 384 Sqrt[z] + 2928 z + 2928 z^(3/2) - 10305 z^2 - 10305 z^(5/2) + 25095 z^3 + 25095 z^(7/2) + 55825 z^4 + 55825 z^(9/2) - 8547 z^5 - 8547 z^(11/2) + 924 z^6 + 924 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (-192 + 1512 z - 5505 z^2 + 13740 z^3 - 7630 z^4 - 2156 z^5 + 231 z^6) 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