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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=-7/4





http://functions.wolfram.com/07.23.03.ad0t.01









  


  








Input Form





Hypergeometric2F1[-(11/4), -(7/4), 4, -z] == (256 Sqrt[2] (Sqrt[1 + z] (-224 - 2933 z - 25620 z^2 + 233218 z^3 - 116276 z^4 + 1995 z^5) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + (-224 - 3157 z - 28553 z^2 + 207598 z^3 + 116942 z^4 - 114281 z^5 + 1995 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (-224 - 2933 z - 25620 z^2 + 233218 z^3 - 116276 z^4 + 1995 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (224 + 3101 z + 27804 z^2 + 160406 z^3 - 487636 z^4 + 125685 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (47949825 Pi z^3 Sqrt[1 + Sqrt[1 + z]])








Standard Form





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MathML Form







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<plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> -1 </cn> </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