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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=23/4





http://functions.wolfram.com/07.23.03.abw0.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 23/4, 6, -z] == (1/(18729201645 Pi z^5)) (16384 (1 + z)^(1/4) (2 (2048 - 3744 z + 8435 z^2 - 25410 z^3 + 132195 z^4 + 1686216 z^5 + 3621072 z^6 + 2957760 z^7 + 848640 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (2048 - 3744 z + 8435 z^2 - 25410 z^3 + 132195 z^4 + 1686216 z^5 + 3621072 z^6 + 2957760 z^7 + 848640 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-2048 + 5280 z - 12635 z^2 + 35595 z^3 - 160650 z^4 + 725424 z^5 + 3887520 z^6 + 4642560 z^7 + 1697280 z^8) EllipticK[1/2 - 1/(2 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