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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.a95a.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(11/4), 4, z] == (1/(3238884495 Pi z^3)) (256 (-2 Sqrt[1 - z] (-2464 + 53515 z - 850311 z^2 - 20592982 z^3 - 37328270 z^4 - 12315537 z^5 - 256795 z^6 + 7084 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-2464 + 55363 z - 890274 z^2 + 5344853 z^3 + 59225764 z^4 + 65699229 z^5 + 13137278 z^6 + 1771 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-2464 + 53515 z - 850311 z^2 - 20592982 z^3 - 37328270 z^4 - 12315537 z^5 - 256795 z^6 + 7084 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