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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=-15/4, b>=a > For fixed z and a=-15/4, b=21/4





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









  


  










Input Form





Hypergeometric2F1[-(15/4), 21/4, 2, -z] == (8 Sqrt[2] ((45045 + 6633344 z + 48052224 z^2 + 97714176 z^3 + 58720256 z^4) (1 + z + Sqrt[1 + z]) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (45045 (1 + Sqrt[1 + z]) + 14680064 z^4 (1 + 4 Sqrt[1 + z]) + 344064 z^3 (83 + 284 Sqrt[1 + z]) + 3072 z^2 (5531 + 15642 Sqrt[1 + z]) + 16 z (189359 + 414584 Sqrt[1 + z])) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (14549535 Pi z 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