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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=23/4





http://functions.wolfram.com/07.23.03.a7un.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 2, -z] == (1/(4542615 Pi z)) (8 (1 + z)^(1/4) (2 (8855 + 1322823 z + 14785212 z^2 + 57092880 z^3 + 98781696 z^4 + 78923520 z^5 + 23761920 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (8855 + 1322823 z + 14785212 z^2 + 57092880 z^3 + 98781696 z^4 + 78923520 z^5 + 23761920 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-8855 - 180528 z + 4051944 z^2 + 39017472 z^3 + 109474560 z^4 + 122204160 z^5 + 47523840 z^6) 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