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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 8 and fixed z and a<0 > For fixed z and a=-39/8, b>=a > For fixed z and a=-39/8, b=45/8





http://functions.wolfram.com/07.23.03.bas3.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 45/8, -(1/2), z] == (1/489288) ((1/(1 - Sqrt[z])^(5/4)) (244644 - 305805 Sqrt[z] + 13455420 z + 21286640 z^(3/2) - 389904640 z^2 + 71047424 z^(5/2) + 2083343360 z^3 - 1158430720 z^(7/2) - 3732275200 z^4 + 2668298240 z^(9/2) + 2116812800 z^5 - 1693450240 z^(11/2)) + (1/(1 + Sqrt[z])^(5/4)) (244644 + 305805 Sqrt[z] + 13455420 z - 21286640 z^(3/2) - 389904640 z^2 - 71047424 z^(5/2) + 2083343360 z^3 + 1158430720 z^(7/2) - 3732275200 z^4 - 2668298240 z^(9/2) + 2116812800 z^5 + 1693450240 z^(11/2)))








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