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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=-7/4, b>=a > For fixed z and a=-7/4, b=-7/4





http://functions.wolfram.com/07.23.03.aer9.01









  


  










Input Form





Hypergeometric2F1[-(7/4), -(7/4), 9/2, z] == (1/(6593535 Pi^(3/2) z^(7/2))) (16 (-8 (-210 + 2289 z - 13664 z^2 + 96558 z^3 + 208410 z^4 + 34297 z^5) EllipticE[(1/2) (1 - Sqrt[z])] + 8 (-210 + 2289 z - 13664 z^2 + 96558 z^3 + 208410 z^4 + 34297 z^5) EllipticE[(1/2) (1 + Sqrt[z])] + (-840 - 420 Sqrt[z] + 9156 z + 4543 z^(3/2) - 54656 z^2 - 26964 z^(5/2) + 386232 z^3 + 603114 z^(7/2) + 833640 z^4 + 660832 z^(9/2) + 137188 z^5 + 69615 z^(11/2)) EllipticK[(1/2) (1 - Sqrt[z])] + (840 - 420 Sqrt[z] - 9156 z + 4543 z^(3/2) + 54656 z^2 - 26964 z^(5/2) - 386232 z^3 + 603114 z^(7/2) - 833640 z^4 + 660832 z^(9/2) - 137188 z^5 + 69615 z^(11/2)) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[3/4]^2)










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