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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=-15/4





http://functions.wolfram.com/07.23.03.a92u.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(15/4), 4, z] == (1/(29149960455 Pi z^3)) (256 (2 Sqrt[1 - z] (12320 - 315315 z + 6077610 z^2 + 199651523 z^3 + 527739372 z^4 + 318999267 z^5 + 40644458 z^6 + 239085 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (12320 - 315315 z + 6077610 z^2 + 199651523 z^3 + 527739372 z^4 + 318999267 z^5 + 40644458 z^6 + 239085 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-12320 + 324555 z - 6313230 z^2 + 32618977 z^3 + 622311564 z^4 + 1068799581 z^5 + 433222018 z^6 + 35145495 z^7) 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