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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=-23/4, b>=a > For fixed z and a=-23/4, b=-23/4





http://functions.wolfram.com/07.23.03.8945.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(23/4), 1, -z] == (1/(168245 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (-52 Sqrt[1 + z] (-4723 + 95719 z - 356518 z^2 + 356518 z^3 - 95719 z^4 + 4723 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 52 (-4723 + 90996 z - 260799 z^2 + 260799 z^4 - 90996 z^5 + 4723 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 52 Sqrt[1 + z] (-4723 + 95719 z - 356518 z^2 + 356518 z^3 - 95719 z^4 + 4723 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (-77351 - 758894 z + 16236803 z^2 - 42672052 z^3 + 29798351 z^4 - 5490686 z^5 + 168245 z^6) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])]))








Standard Form





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MathML Form







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</cn> </apply> <apply> <power /> <apply> <plus /> <apply> <power /> <apply> <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