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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=11/4





http://functions.wolfram.com/07.23.03.af64.01









  


  










Input Form





Hypergeometric2F1[-(7/4), 11/4, 5, z] == (1/(2523675 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 (-4 (96 + 96 Sqrt[z] - 212 z - 212 z^(3/2) + 35 z^2 + 35 z^(5/2) + 60 z^3 + 60 z^(7/2) - 125 z^4 - 125 z^(9/2) + 50 z^5 + 50 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (384 - 944 z + 325 z^2 + 250 z^3 + 685 z^4 - 1100 z^5 + 400 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