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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=-11/4, b>=a > For fixed z and a=-11/4, b=23/4





http://functions.wolfram.com/07.23.03.adr2.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, 6, z] == (16384 ((-2048 - 2048 Sqrt[z] - 3360 z - 3360 z^(3/2) - 6627 z^2 - 6627 z^(5/2) - 16989 z^3 - 16989 z^(7/2) - 72576 z^4 - 72576 z^(9/2) + 653760 z^5 + 653760 z^(11/2) - 923520 z^6 - 923520 z^(13/2) + 374400 z^7 + 374400 z^(15/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-2048 - 2848 z - 5643 z^2 - 15018 z^3 - 67683 z^4 - 306360 z^5 + 1685040 z^6 - 2034240 z^7 + 748800 z^8) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(8026800705 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