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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=-11/4, b>=a > For fixed z and a=-11/4, b=9/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 9/4, 5, -z] == (4096 Sqrt[2] (Sqrt[1 + z] (-1408 - 4752 z - 3465 z^2 + 3850 z^3 + 11475 z^4 + 8352 z^5 + 2048 z^6) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + (-1408 - 6160 z - 8217 z^2 + 385 z^3 + 15325 z^4 + 19827 z^5 + 10400 z^6 + 2048 z^7) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 2 (-704 - 2904 z - 3465 z^2 + 770 z^3 + 1695 z^4 + 1116 z^5 + 256 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-1408 - 4752 z - 3465 z^2 + 3850 z^3 + 11475 z^4 + 8352 z^5 + 2048 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (22713075 Pi z^4 Sqrt[1 + Sqrt[1 + z]])








Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02