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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=-1/8, b>=a > For fixed z and a=-1/8, b=19/8





http://functions.wolfram.com/07.23.03.bws6.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 19/8, -(21/4), z] == (297024 (1 + Sqrt[1 - z]) - 3536 (641 + 599 Sqrt[1 - z]) z + 104 (72183 + 62357 Sqrt[1 - z]) z^2 - 15 (935959 + 736201 Sqrt[1 - z]) z^3 + (16076948 + 11245305 Sqrt[1 - z]) z^4 - 21 (535102 + 317341 Sqrt[1 - z]) z^5 + 805035 (4 + Sqrt[1 - z]) z^6 - 3485 (349 + 36 Sqrt[1 - z]) z^7 + 167280 z^8)/ (297024 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(15/2))








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