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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=-15/4, b>=a > For fixed z and a=-15/4, b=-13/4





http://functions.wolfram.com/07.23.03.ab2l.01









  


  










Input Form





Hypergeometric2F1[-(15/4), -(13/4), 4, z] == (1/(5019589575 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((4576 - 95667 z + 1439295 z^2 + 61575810 z^3 + 137826270 z^4 + 62796033 z^5 + 4889139 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-4576 + 4576 Sqrt[z] + 92235 z - 92235 z^(3/2) - 1370655 z^2 + 1370655 z^(5/2) - 23377650 z^3 + 23377650 z^(7/2) - 33580350 z^4 + 33580350 z^(9/2) - 8652393 z^5 + 8652393 z^(11/2) - 215475 z^6 + 215475 z^(13/2)) 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