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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=-21/8, b>=a > For fixed z and a=-21/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 31/8, -(9/2), z] == (1/141312) ((1/(1 - Sqrt[z])^(23/4)) (70656 - 406272 Sqrt[z] + 1124608 z - 2124464 z^(3/2) + 3191020 z^2 - 4055843 z^(5/2) + 4467428 z^3 - 4248928 z^(7/2) + 3373824 z^4 - 2031360 z^(9/2) + 777216 z^5 - 135168 z^(11/2)) + (1/(1 + Sqrt[z])^(23/4)) (70656 + 406272 Sqrt[z] + 1124608 z + 2124464 z^(3/2) + 3191020 z^2 + 4055843 z^(5/2) + 4467428 z^3 + 4248928 z^(7/2) + 3373824 z^4 + 2031360 z^(9/2) + 777216 z^5 + 135168 z^(11/2)))








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