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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=39/8





http://functions.wolfram.com/07.23.03.bm1m.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, 1/2, z] == (1/24242) ((1/(1 + Sqrt[z])^(7/4)) (12121 - 192752 Sqrt[z] - 676704 z + 945280 z^(3/2) + 3646720 z^2 + 473088 z^(5/2) - 4100096 z^3 - 2342912 z^(7/2)) + (1/(1 - Sqrt[z])^(7/4)) (12121 + 192752 Sqrt[z] - 676704 z - 945280 z^(3/2) + 3646720 z^2 - 473088 z^(5/2) - 4100096 z^3 + 2342912 z^(7/2)))








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