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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 13/4, 5, -z] == (4096 Sqrt[2] (4 Sqrt[1 + z] (2464 + 2772 z - 2772 z^2 + 4697 z^3 + 30843 z^4 + 32256 z^5 + 10240 z^6) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] + 4 (2464 + 5236 z + 1925 z^3 + 35540 z^4 + 63099 z^5 + 42496 z^6 + 10240 z^7) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - 4 Sqrt[1 + z] (2464 + 2772 z - 2772 z^2 + 4697 z^3 + 30843 z^4 + 32256 z^5 + 10240 z^6) EllipticK[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] - (9856 + 18480 z - 3465 z^2 + 10010 z^3 + 38595 z^4 + 35136 z^5 + 10240 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (204417675 Pi z^4 Sqrt[1 + Sqrt[1 + z]])








Standard Form





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MathML Form







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1 <sep /> 2 </cn> </apply> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 204417675 </cn> <pi /> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </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='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02