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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=-17/4, b>=a > For fixed z and a=-17/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 6, -z] == (1/(12324987675 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-34816 - 53856 z + 28509 z^2 - 38981 z^3 + 120615 z^4 + 3379233 z^5 + 8545768 z^6 + 9066288 z^7 + 4538688 z^8 + 887040 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-34816 - 27744 z + 45237 z^2 - 74630 z^3 + 182325 z^4 + 1727088 z^5 + 2840992 z^6 + 1862784 z^7 + 443520 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-34816 - 53856 z + 28509 z^2 - 38981 z^3 + 120615 z^4 + 3379233 z^5 + 8545768 z^6 + 9066288 z^7 + 4538688 z^8 + 887040 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








Standard Form





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MathML Form







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<apply> <times /> <cn type='integer'> 53856 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -34816 </cn> </apply> <apply> <ci> EllipticK </ci> <apply> <plus /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </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