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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=-23/4, b>=a > For fixed z and a=-23/4, b=-1/4





http://functions.wolfram.com/07.23.03.9430.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(1/4), 1, z] == (1/(504735 Pi Sqrt[1 + Sqrt[z]])) (2 ((873129 + 873129 Sqrt[z] + 220089 z + 220089 z^(3/2) - 186705 z^2 - 186705 z^(5/2) + 106627 z^3 + 106627 z^(7/2) - 35140 z^4 - 35140 z^(9/2) + 5040 z^5 + 5040 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (184197 - 314556 z + 256566 z^2 - 209692 z^3 + 114845 z^4 - 36400 z^5 + 5040 z^6) 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