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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=-9/4





http://functions.wolfram.com/07.23.03.9268.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(9/4), 6, z] == (1/(17657846952270525 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((9844736 - 189972640 z + 1913200421 z^2 - 14569271915 z^3 + 120210547765 z^4 + 3190541871153 z^5 + 5027880539955 z^6 + 1497730418223 z^7 + 3582470775 z^8 - 234088725 z^9 + 9613500 z^10) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-9844736 + 9844736 Sqrt[z] + 182589088 z - 182589088 z^(3/2) - 1777412285 z^2 + 1777412285 z^(5/2) + 13257177230 z^3 - 13257177230 z^(7/2) - 110468152795 z^4 + 110468152795 z^(9/2) - 1116414650988 z^5 + 1116414650988 z^(11/2) - 1095078835851 z^6 + 1095078835851 z^(13/2) - 152803698450 z^7 + 152803698450 z^(15/2) + 6826065675 z^8 - 6826065675 z^(17/2) - 453757200 z^9 + 453757200 z^(19/2) + 19227000 z^10 - 19227000 z^(21/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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