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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=-1/4





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









  


  










Input Form





Hypergeometric2F1[-(15/4), -(1/4), 5, z] == (4096 ((-29568 - 29568 Sqrt[z] + 319088 z + 319088 z^(3/2) - 1722567 z^2 - 1722567 z^(5/2) + 7375368 z^3 + 7375368 z^(7/2) + 52014822 z^4 + 52014822 z^(9/2) + 899028 z^5 + 899028 z^(11/2) - 149175 z^6 - 149175 z^(13/2) + 13260 z^7 + 13260 z^(15/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 4 (-7392 + 81620 z - 450065 z^2 + 1946175 z^3 + 1173156 z^4 - 3141294 z^5 + 467415 z^6 - 76245 z^7 + 6630 z^8) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(93364366095 Pi Sqrt[1 + Sqrt[z]] z^4)










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