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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=17/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 17/4, 6, z] == (16384 ((34816 + 34816 Sqrt[z] - 53856 z - 53856 z^(3/2) - 28509 z^2 - 28509 z^(5/2) - 38981 z^3 - 38981 z^(7/2) - 120615 z^4 - 120615 z^(9/2) + 3379233 z^5 + 3379233 z^(11/2) - 8545768 z^6 - 8545768 z^(13/2) + 9066288 z^7 + 9066288 z^(15/2) - 4538688 z^8 - 4538688 z^(17/2) + 887040 z^9 + 887040 z^(19/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (34816 - 62560 z - 17493 z^2 - 29393 z^3 - 107695 z^4 + 1909413 z^5 - 4568080 z^6 + 4703776 z^7 - 2306304 z^8 + 443520 z^9) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(12324987675 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