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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=-23/4, b>=a > For fixed z and a=-23/4, b=-5/4





http://functions.wolfram.com/07.23.03.9338.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(5/4), 1, z] == (1/(504735 Pi Sqrt[1 + Sqrt[z]])) (2 (4 (243519 + 243519 Sqrt[z] + 1101942 z + 1101942 z^(3/2) + 41730 z^2 + 41730 z^(5/2) - 13760 z^3 - 13760 z^(7/2) + 3175 z^4 + 3175 z^(9/2) - 350 z^5 - 350 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-469341 - 631104 z + 1366290 z^2 - 358660 z^3 + 116115 z^4 - 26100 z^5 + 2800 z^6) 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