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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=-17/4, b>=a > For fixed z and a=-17/4, b=-7/4





http://functions.wolfram.com/07.23.03.aad3.01









  


  










Input Form





Hypergeometric2F1[-(17/4), -(7/4), 4, -z] == (1/(10548412875 Pi z^3)) (256 (1 + z)^(1/4) (2 (-21216 - 361335 z - 4214691 z^2 + 121473110 z^3 - 155820790 z^4 + 21844053 z^5 + 1075305 z^6 + 52668 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-21216 - 345423 z - 3958110 z^2 + 41992670 z^3 - 29383720 z^4 + 513513 z^5 + 26334 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-21216 - 361335 z - 4214691 z^2 + 121473110 z^3 - 155820790 z^4 + 21844053 z^5 + 1075305 z^6 + 52668 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