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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=13/8





http://functions.wolfram.com/07.23.03.ba8j.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 13/8, 11/2, z] == (1/(45295154025 z^(9/2))) (512 ((1 + Sqrt[z])^(35/4) (-722176 + 6319040 Sqrt[z] - 25243920 z + 61723480 z^(3/2) - 104495885 z^2 + 129619308 z^(5/2) - 117804960 z^3 + 75828480 z^(7/2) - 32497920 z^4 + 8279040 z^(9/2) - 946176 z^5) + (1 - Sqrt[z])^(35/4) (722176 + 6319040 Sqrt[z] + 25243920 z + 61723480 z^(3/2) + 104495885 z^2 + 129619308 z^(5/2) + 117804960 z^3 + 75828480 z^(7/2) + 32497920 z^4 + 8279040 z^(9/2) + 946176 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