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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=-9/4, b>=a > For fixed z and a=-9/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 23/4, 6, z] == (1/(14767778025 Pi z^5)) (16384 (2 (-6144 - 8736 z - 15897 z^2 - 37875 z^3 - 148800 z^4 + 2561536 z^5 - 4161536 z^6 + 1835008 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (6144 + 10272 z + 19185 z^2 + 44325 z^3 + 163200 z^4 - 710656 z^5 + 458752 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-6144 - 8736 z - 15897 z^2 - 37875 z^3 - 148800 z^4 + 2561536 z^5 - 4161536 z^6 + 1835008 z^7) EllipticK[(1/2) (1 - 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