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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/07.23.03.9916.01









  


  










Input Form





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