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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=19/4





http://functions.wolfram.com/07.23.03.a7r2.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 3, z] == -((1/(422463195 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] (2 (6118 + 131537 z - 6500940 z^2 + 39753429 z^3 - 97917456 z^4 + 117990288 z^5 - 69588480 z^6 + 16124160 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-12236 + 12236 Sqrt[z] - 272251 z + 272251 z^(3/2) - 405717 z^2 + 405717 z^(5/2) + 39524268 z^3 - 39524268 z^(7/2) - 177660912 z^4 + 177660912 z^(9/2) + 304312320 z^5 - 304312320 z^(11/2) - 229981440 z^6 + 229981440 z^(13/2) + 64496640 z^7 - 64496640 z^(15/2)) 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