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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=-19/4, b>=a > For fixed z and a=-19/4, b=-11/4





http://functions.wolfram.com/07.23.03.a95e.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(11/4), 5, z] == (1/(145749802275 Pi z^4)) (4096 (-8 Sqrt[1 - z] (352 - 6732 z + 73458 z^2 - 784553 z^3 - 13468635 z^4 - 19432638 z^5 - 5327612 z^6 - 93357 z^7 + 2277 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 Sqrt[1 - z] (352 - 6732 z + 73458 z^2 - 784553 z^3 - 13468635 z^4 - 19432638 z^5 - 5327612 z^6 - 93357 z^7 + 2277 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (1408 - 27984 z + 313929 z^2 - 3356738 z^3 + 19626195 z^4 + 144362628 z^5 + 129468511 z^6 + 21909294 z^7 + 2277 z^8) 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