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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=-15/4, b>=a > For fixed z and a=-15/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 17/4, 4, z] == (1/(177161985 Pi z^3)) (256 (-2 Sqrt[1 - z] (2464 + 11781 z + 74151 z^2 - 2120768 z^3 + 5801472 z^4 - 5603328 z^5 + 1835008 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (2464 + 9933 z + 65142 z^2 - 793211 z^3 + 1785216 z^4 - 1529856 z^5 + 458752 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (2464 + 11781 z + 74151 z^2 - 2120768 z^3 + 5801472 z^4 - 5603328 z^5 + 1835008 z^6) 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