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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=-5/4





http://functions.wolfram.com/07.23.03.aet0.01









  


  








Input Form





Hypergeometric2F1[-(7/4), -(5/4), 5, z] == (1/(334639305 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 (16 (-8 - 8 Sqrt[z] + 79 z + 79 z^(3/2) - 392 z^2 - 392 z^(5/2) + 1582 z^3 + 1582 z^(7/2) + 12072 z^4 + 12072 z^(9/2) + 3051 z^5 + 3051 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (128 - 1296 z + 6579 z^2 - 26796 z^3 - 23822 z^4 + 41892 z^5 + 3315 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