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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.a7r3.01









  


  








Input Form





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