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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=-19/4





http://functions.wolfram.com/07.23.03.9046.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(19/4), 6, z] == (1/(5995788194340945 Pi z^5)) (16384 (2 Sqrt[1 - z] (428032 - 10975008 z + 153349779 z^2 - 1717363032 z^3 + 22622819604 z^4 + 631321721688 z^5 + 1813798465458 z^6 + 1509114552216 z^7 + 393671660052 z^8 + 25427340296 z^9 + 79594515 z^10) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (428032 - 10975008 z + 153349779 z^2 - 1717363032 z^3 + 22622819604 z^4 + 631321721688 z^5 + 1813798465458 z^6 + 1509114552216 z^7 + 393671660052 z^8 + 25427340296 z^9 + 79594515 z^10) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-428032 + 11296032 z - 161550939 z^2 + 1831617480 z^3 - 23900404836 z^4 + 117437113752 z^5 + 1947191772078 z^6 + 3912080009784 z^7 + 2366646071100 z^8 + 448127845576 z^9 + 19659845205 z^10) 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