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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.barz.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 45/8, -(3/2), z] == (1/34336) ((1/(1 + Sqrt[z])^(9/4)) (17168 + 38628 Sqrt[z] + 337995 z + 708180 z^(3/2) + 8498160 z^2 + 1043712 z^(5/2) - 144953088 z^3 - 193674240 z^(7/2) + 362004480 z^4 + 701890560 z^(9/2) - 50135040 z^5 - 601620480 z^(11/2) - 267386880 z^6) + (1/(1 - Sqrt[z])^(9/4)) (17168 - 38628 Sqrt[z] + 337995 z - 708180 z^(3/2) + 8498160 z^2 - 1043712 z^(5/2) - 144953088 z^3 + 193674240 z^(7/2) + 362004480 z^4 - 701890560 z^(9/2) - 50135040 z^5 + 601620480 z^(11/2) - 267386880 z^6))








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