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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=15/4





http://functions.wolfram.com/07.23.03.9915.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, 3, z] == -((1/(140821065 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] ((8740 + 120175 z - 4034178 z^2 + 19291671 z^3 - 39155640 z^4 + 40182480 z^5 - 20654400 z^6 + 4243200 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (4370 - 4370 Sqrt[z] + 63365 z - 63365 z^(3/2) + 231276 z^2 - 231276 z^(5/2) - 5850435 z^3 + 5850435 z^(7/2) + 19719600 z^4 - 19719600 z^(9/2) - 27396720 z^5 + 27396720 z^(11/2) + 17472000 z^6 - 17472000 z^(13/2) - 4243200 z^7 + 4243200 z^(15/2)) 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