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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=3/4





http://functions.wolfram.com/07.23.03.9541.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 3/4, 5, -z] == (1/(356981399775 Pi z^4)) (4096 (1 + z)^(1/4) (4 (-307648 - 3191848 z - 15416049 z^2 - 48959295 z^3 + 26475150 z^4 + 20823426 z^5 + 11821251 z^6 + 4476693 z^7 + 1010880 z^8 + 102960 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 (-307648 - 3191848 z - 15416049 z^2 - 48959295 z^3 + 26475150 z^4 + 20823426 z^5 + 11821251 z^6 + 4476693 z^7 + 1010880 z^8 + 102960 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (615296 + 5922224 z + 26462535 z^2 + 78738660 z^3 + 65157690 z^4 + 57119868 z^5 + 36193287 z^6 + 15136680 z^7 + 3734640 z^8 + 411840 z^9) 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