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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=7/4, b>=a > For fixed z and a=7/4, b=23/4





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









  


  










Input Form





Hypergeometric2F1[7/4, 23/4, 5, -z] == (1/(329175 Pi z^4 Sqrt[1 + Sqrt[1 + z]])) (4096 Sqrt[2] ((2 (64 + 40 z - 33 z^2 + 40 z^3 + 64 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^2 + (2 (64 + 40 z - 33 z^2 + 40 z^3 + 64 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(3/2) - ((128 + 176 z - 15 z^2 + 29 z^3 + 32 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(5/2) - (2 (64 + 40 z - 33 z^2 + 40 z^3 + 64 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^2))










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