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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=35/8





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









  


  










Input Form





Hypergeometric2F1[31/8, 35/8, -(5/4), z] == (5244 (1 + Sqrt[1 - z]) - 1311 (93 + 91 Sqrt[1 - z]) z + 11799 (393 + 388 Sqrt[1 - z]) z^2 + (25412530 + 21610418 Sqrt[1 - z]) z^3 + 2 (11779125 + 7823576 Sqrt[1 - z]) z^4 + 3 (1454187 + 576281 Sqrt[1 - z]) z^5 + 80155 z^6)/ (5244 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(19/2))










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