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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/07.23.03.9269.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(9/4), 6, -z] == (1/(17657846952270525 Pi z^5)) (16384 (1 + z)^(1/4) (-2 (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[1/2 - 1/(2 Sqrt[1 + 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) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-9844736 - 182589088 z - 1777412285 z^2 - 13257177230 z^3 - 110468152795 z^4 + 1116414650988 z^5 - 1095078835851 z^6 + 152803698450 z^7 + 6826065675 z^8 + 453757200 z^9 + 19227000 z^10) 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