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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=21/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 21/4, 2, z] == -((1/(765765 Pi (-1 + z)^2 z)) (8 (2 Sqrt[1 - z] (4095 - 326177 z + 1537408 z^2 - 2201600 z^3 + 983040 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (4095 (1 + Sqrt[1 - z]) - (137807 + 326177 Sqrt[1 - z]) z + 16 (31717 + 96088 Sqrt[1 - z]) z^2 - 5120 (121 + 430 Sqrt[1 - z]) z^3 + 245760 (1 + 4 Sqrt[1 - z]) z^4) EllipticK[(1/2) (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