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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=5/8, b>=a > For fixed z and a=5/8, b=41/8





http://functions.wolfram.com/07.23.03.c0d5.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(19/4), z] == (1705440 (1 + Sqrt[1 - z]) - 44880 (427 + 408 Sqrt[1 - z]) z + 1870 (53377 + 48595 Sqrt[1 - z]) z^2 - 85 (3807301 + 3298430 Sqrt[1 - z]) z^3 + 85 (8933567 + 7405308 Sqrt[1 - z]) z^4 - 1870 (875731 + 723490 Sqrt[1 - z]) z^5 - 926478 (4434 + 241 Sqrt[1 - z]) z^6 + 7353 (144539 + 8578 Sqrt[1 - z]) z^7 - 7353 (38773 + 1640 Sqrt[1 - z]) z^8 + 39216 (1307 + 28 Sqrt[1 - z]) z^9 - 4392192 z^10)/(1705440 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(21/2))








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