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





http://functions.wolfram.com/07.23.03.b76h.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 39/8, 3/2, z] == (1/(121755445 Sqrt[z])) (2 ((1 - Sqrt[z])^(9/4) (-7155837 + 14338228 Sqrt[z] + 425832048 z + 380659968 z^(3/2) - 3262301952 z^2 - 4801305600 z^(5/2) + 6185926656 z^3 + 13122011136 z^(7/2) - 130351104 z^4 - 9906683904 z^(9/2) - 4402970624 z^5) + (1 + Sqrt[z])^(9/4) (7155837 + 14338228 Sqrt[z] - 425832048 z + 380659968 z^(3/2) + 3262301952 z^2 - 4801305600 z^(5/2) - 6185926656 z^3 + 13122011136 z^(7/2) + 130351104 z^4 - 9906683904 z^(9/2) + 4402970624 z^5)))








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