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





http://functions.wolfram.com/07.23.03.bd05.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 25/8, -(11/2), z] == (1/1531904) ((1/(1 - Sqrt[z])^(17/4)) (765952 - 3255296 Sqrt[z] + 7193856 z - 12059392 z^(3/2) + 17334560 z^2 - 22441428 z^(5/2) + 26829009 z^3 - 29921904 z^(7/2) + 31202208 z^4 - 30148480 z^(9/2) + 26377472 z^5 - 19531776 z^(11/2) + 9957376 z^6 - 2342912 z^(13/2)) + (1/(1 + Sqrt[z])^(17/4)) (765952 + 3255296 Sqrt[z] + 7193856 z + 12059392 z^(3/2) + 17334560 z^2 + 22441428 z^(5/2) + 26829009 z^3 + 29921904 z^(7/2) + 31202208 z^4 + 30148480 z^(9/2) + 26377472 z^5 + 19531776 z^(11/2) + 9957376 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