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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.aban.01









  


  










Input Form





Hypergeometric2F1[-(15/4), -(1/4), 6, z] == (16384 ((22528 + 22528 Sqrt[z] - 254496 z - 254496 z^(3/2) + 1374065 z^2 + 1374065 z^(5/2) - 4951485 z^3 - 4951485 z^(7/2) + 15950550 z^4 + 15950550 z^(9/2) + 87503766 z^5 + 87503766 z^(11/2) + 1174173 z^6 + 1174173 z^(13/2) - 169065 z^7 - 169065 z^(15/2) + 13260 z^8 + 13260 z^(17/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (22528 - 260128 z + 1436105 z^2 - 5277965 z^3 + 17100930 z^4 + 4038846 z^5 - 19171971 z^6 + 2429895 z^7 - 344760 z^8 + 26520 z^9) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/ (653550562665 Pi Sqrt[1 + Sqrt[z]] z^5)










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