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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/07.23.03.9540.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 3/4, 5, z] == (1/(356981399775 Pi z^4)) (4096 Sqrt[1 + Sqrt[z]] ((-615296 + 6383696 z - 30832098 z^2 + 97918590 z^3 + 52950300 z^4 - 41646852 z^5 + 23642502 z^6 - 8953386 z^7 + 2021760 z^8 - 205920 z^9) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (615296 - 615296 Sqrt[z] - 5922224 z + 5922224 z^(3/2) + 26462535 z^2 - 26462535 z^(5/2) - 78738660 z^3 + 78738660 z^(7/2) + 65157690 z^4 - 65157690 z^(9/2) - 57119868 z^5 + 57119868 z^(11/2) + 36193287 z^6 - 36193287 z^(13/2) - 15136680 z^7 + 15136680 z^(15/2) + 3734640 z^8 - 3734640 z^(17/2) - 411840 z^9 + 411840 z^(19/2)) 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