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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 35/8, -(11/2), z] == (1/2433024) ((1/(1 - Sqrt[z])^(27/4)) (1216512 - 8211456 Sqrt[z] + 26631936 z - 57791232 z^(3/2) + 97565280 z^2 - 138095604 z^(5/2) + 169828947 z^3 - 184127472 z^(7/2) + 175617504 z^4 - 144478080 z^(9/2) + 97650432 z^5 - 49268736 z^(11/2) + 15814656 z^6 - 2342912 z^(13/2)) + (1/(1 + Sqrt[z])^(27/4)) (1216512 + 8211456 Sqrt[z] + 26631936 z + 57791232 z^(3/2) + 97565280 z^2 + 138095604 z^(5/2) + 169828947 z^3 + 184127472 z^(7/2) + 175617504 z^4 + 144478080 z^(9/2) + 97650432 z^5 + 49268736 z^(11/2) + 15814656 z^6 + 2342912 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