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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=-15/4





http://functions.wolfram.com/07.23.03.aa8s.01









  


  










Input Form





Hypergeometric2F1[-(17/4), -(15/4), 6, -z] == (1/(1168766256232575 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-452608 - 9073376 z - 95921735 z^2 - 778597365 z^3 - 7011599595 z^4 + 216670023759 z^5 - 432855081477 z^6 + 212285955825 z^7 - 24893250825 z^8 + 328582485 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (452608 + 8733920 z + 89424335 z^2 + 712532730 z^3 + 6487305825 z^4 - 78784080564 z^5 + 104785375905 z^6 - 32111978310 z^7 + 1800948495 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-452608 - 9073376 z - 95921735 z^2 - 778597365 z^3 - 7011599595 z^4 + 216670023759 z^5 - 432855081477 z^6 + 212285955825 z^7 - 24893250825 z^8 + 328582485 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))










Standard Form





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MathML Form







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type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <apply> <plus /> <ci> z </ci> <cn type='integer'> 1 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02