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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=-7/4





http://functions.wolfram.com/07.23.03.9300.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(7/4), 5, z] == (1/(9153369225 Pi z^4)) (4096 (-8 Sqrt[1 - z] (32 - 580 z + 5891 z^2 - 56945 z^3 - 797038 z^4 - 797038 z^5 - 56945 z^6 + 5891 z^7 - 580 z^8 + 32 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (128 - 2416 z + 25295 z^2 - 245294 z^3 + 1450517 z^4 + 7933628 z^5 + 4410889 z^6 + 6050 z^7 - 589 z^8 + 32 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 4 Sqrt[1 - z] (32 - 580 z + 5891 z^2 - 56945 z^3 - 797038 z^4 - 797038 z^5 - 56945 z^6 + 5891 z^7 - 580 z^8 + 32 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])]))








Standard Form





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MathML Form







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