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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=15/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 6, -z] == (1/(985747455 Pi z^5)) (16384 (1 + z)^(1/4) (2 (6144 + 15648 z + 2905 z^2 - 4305 z^3 + 12075 z^4 + 73437 z^5 + 101304 z^6 + 58320 z^7 + 12480 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (6144 + 15648 z + 2905 z^2 - 4305 z^3 + 12075 z^4 + 73437 z^5 + 101304 z^6 + 58320 z^7 + 12480 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-6144 - 11040 z + 4655 z^2 - 210 z^3 - 11025 z^4 + 54768 z^5 + 131040 z^6 + 97920 z^7 + 24960 z^8) 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