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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=19/4, b>=a > For fixed z and a=19/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[19/4, 23/4, 5, -z] == (4096 Sqrt[2] (((-128 - 688 z - 1587 z^2 - 2322 z^3 + 385 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^5 + ((-128 - 688 z - 1587 z^2 - 2322 z^3 + 385 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(9/2) - ((-128 - 688 z - 1587 z^2 - 2322 z^3 + 385 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^5 + (2 (64 + 392 z + 1047 z^2 + 1734 z^3 + 2695 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(11/2)))/ (8448825 Pi z^4 Sqrt[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