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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=-41/8, b>=a > For fixed z and a=-41/8, b=27/8





http://functions.wolfram.com/07.23.03.b9bc.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 11/2, z] == (1/(216781841419 z^(9/2))) (512 ((1 + Sqrt[z])^(29/4) (-4460800 + 32340800 Sqrt[z] - 119605200 z + 311280200 z^(3/2) - 644296345 z^2 + 1120608720 z^(5/2) - 1674472800 z^3 + 2134492800 z^(7/2) - 2208096000 z^4 + 1707104256 z^(9/2) - 894406656 z^5 + 277954560 z^(11/2) - 38338560 z^6) + (1 - Sqrt[z])^(29/4) (4460800 + 32340800 Sqrt[z] + 119605200 z + 311280200 z^(3/2) + 644296345 z^2 + 1120608720 z^(5/2) + 1674472800 z^3 + 2134492800 z^(7/2) + 2208096000 z^4 + 1707104256 z^(9/2) + 894406656 z^5 + 277954560 z^(11/2) + 38338560 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