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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.abaf.01









  


  










Input Form





Hypergeometric2F1[-(15/4), -(1/4), 4, z] == (1/(177161985 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((2464 + 2464 Sqrt[z] - 26565 z - 26565 z^(3/2) + 170016 z^2 + 170016 z^(5/2) + 1657074 z^3 + 1657074 z^(7/2) + 38844 z^4 + 38844 z^(9/2) - 7605 z^5 - 7605 z^(11/2) + 780 z^6 + 780 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (2464 - 27181 z + 176484 z^2 + 232266 z^3 - 451308 z^4 + 81315 z^5 - 15600 z^6 + 1560 z^7) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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