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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=17/4





http://functions.wolfram.com/07.23.03.a9qz.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 17/4, 1, -z] == (1/(855855 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] ((1775413 + 26390912 z + 98482176 z^2 + 132579328 z^3 + 58720256 z^4) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (919558 + 1775413 Sqrt[1 + z] + 14680064 z^4 (1 + 4 Sqrt[1 + z]) + 114688 z^3 (325 + 1156 Sqrt[1 + z]) + 3072 z^2 (10433 + 32058 Sqrt[1 + z]) + 16 z (649463 + 1649432 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(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