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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=-21/4, b>=a > For fixed z and a=-21/4, b=11/4





http://functions.wolfram.com/07.23.03.a8ow.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 11/4, 2, z] == (1/(348075 Pi z)) (8 (-2 (1989 - 149606 z + 871345 z^2 - 1987520 z^3 + 2214400 z^4 - 1212416 z^5 + 262144 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-1989 + 62090 z - 244205 z^2 + 374400 z^3 - 256000 z^4 + 65536 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (1989 - 149606 z + 871345 z^2 - 1987520 z^3 + 2214400 z^4 - 1212416 z^5 + 262144 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])]))








Standard Form





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MathML Form







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Rule Form





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





2007-05-02