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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=-11/4





http://functions.wolfram.com/07.23.03.9197.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(11/4), 1, -z] == (1/(504735 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] ((-Sqrt[1 + z]) (-654629 + 5609108 z - 6065078 z^2 + 437668 z^3 + 39347 z^4 + 2464 z^5) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + (654629 - 4954479 z + 455970 z^2 + 5627410 z^3 - 477015 z^4 - 41811 z^5 - 2464 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 2 (-74947 - 1415720 z + 7132190 z^2 - 4251940 z^3 + 5005 z^4 + 308 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + Sqrt[1 + z] (-654629 + 5609108 z - 6065078 z^2 + 437668 z^3 + 39347 z^4 + 2464 z^5) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))








Standard Form





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MathML Form







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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