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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=-9/4, b>=a > For fixed z and a=-9/4, b=1/4





http://functions.wolfram.com/07.23.03.ae7m.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 1/4, 6, z] == (1/(14767778025 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((6144 - 51744 z + 197337 z^2 - 463440 z^3 + 849030 z^4 + 1468852 z^5 - 188727 z^6 + 17556 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-6144 + 6144 Sqrt[z] + 47136 z - 47136 z^(3/2) - 162705 z^2 + 162705 z^(5/2) + 346665 z^3 - 346665 z^(7/2) - 606165 z^4 + 606165 z^(9/2) - 86317 z^5 + 86317 z^(11/2) + 8778 z^6 - 8778 z^(13/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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