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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=-15/4, b>=a > For fixed z and a=-15/4, b=13/4





http://functions.wolfram.com/07.23.03.abm5.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 13/4, 3, z] == (1/(1514205 Pi z^2)) (64 (-2 Sqrt[1 - z] (308 + 2387 z - 72907 z^2 + 203392 z^3 - 198656 z^4 + 65536 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 (77 + 539 z - 6850 z^2 + 15676 z^3 - 13568 z^4 + 4096 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (308 + 2387 z - 72907 z^2 + 203392 z^3 - 198656 z^4 + 65536 z^5) 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