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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





http://functions.wolfram.com/07.23.03.bfm7.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, -(9/2), z] == (1/3741696) ((1/(1 - Sqrt[z])^(21/4)) (1870848 - 9821952 Sqrt[z] + 28322560 z - 61728240 z^(3/2) + 113056500 z^2 - 183602335 z^(5/2) + 271335600 z^3 - 370369440 z^(7/2) + 467322240 z^4 - 540207360 z^(9/2) + 535062528 z^5 - 389148672 z^(11/2) + 170311680 z^6 - 32440320 z^(13/2)) + (1/(1 + Sqrt[z])^(21/4)) (1870848 + 9821952 Sqrt[z] + 28322560 z + 61728240 z^(3/2) + 113056500 z^2 + 183602335 z^(5/2) + 271335600 z^3 + 370369440 z^(7/2) + 467322240 z^4 + 540207360 z^(9/2) + 535062528 z^5 + 389148672 z^(11/2) + 170311680 z^6 + 32440320 z^(13/2)))








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