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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9921.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 15/4, 4, -z] == (1/(985747455 Pi z^3)) (256 (1 + z)^(1/4) (2 (13984 - 48507 z + 321195 z^2 + 6394479 z^3 + 22833153 z^4 + 37178568 z^5 + 31916976 z^6 + 14114880 z^7 + 2545920 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (13984 - 48507 z + 321195 z^2 + 6394479 z^3 + 22833153 z^4 + 37178568 z^5 + 31916976 z^6 + 14114880 z^7 + 2545920 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-13984 + 58995 z - 367080 z^2 + 1589511 z^3 + 16961490 z^4 + 41518512 z^5 + 45907680 z^6 + 24410880 z^7 + 5091840 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