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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=1/4





http://functions.wolfram.com/07.23.03.9482.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 1/4, 5, z] == (1/(192220753725 Pi z^4)) (4096 (-4 Sqrt[1 - z] (27968 - 325128 z + 1870797 z^2 - 8253182 z^3 - 14255850 z^4 + 7209048 z^5 - 3272843 z^6 + 1072662 z^7 - 218112 z^8 + 20480 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (55936 - 692208 z + 4225353 z^2 - 19268641 z^3 + 77482650 z^4 + 4003566 z^5 - 1774003 z^6 + 565683 z^7 - 111936 z^8 + 10240 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (27968 - 325128 z + 1870797 z^2 - 8253182 z^3 - 14255850 z^4 + 7209048 z^5 - 3272843 z^6 + 1072662 z^7 - 218112 z^8 + 20480 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> <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