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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=-9/4, b>=a > For fixed z and a=-9/4, b=-3/4





http://functions.wolfram.com/07.23.03.ae52.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(3/4), 6, -z] == (1/(339658894575 Pi z^5)) (16384 (1 + z)^(1/4) (-2 (18432 + 188640 z + 916347 z^2 + 2958930 z^3 + 8612730 z^4 - 45960656 z^5 + 6561555 z^6 + 201894 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (18432 + 174816 z + 787395 z^2 + 2388060 z^3 + 6906690 z^4 - 9429476 z^5 + 100947 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + (18432 + 188640 z + 916347 z^2 + 2958930 z^3 + 8612730 z^4 - 45960656 z^5 + 6561555 z^6 + 201894 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