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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=43/8





http://functions.wolfram.com/07.23.03.bx7g.01









  


  








Input Form





Hypergeometric2F1[-(1/8), 43/8, -(13/4), z] == (391248 (1 + Sqrt[1 - z]) - 7524 (441 + 415 Sqrt[1 - z]) z + 627 (19571 + 17159 Sqrt[1 - z]) z^2 - 2508 (10068 + 8069 Sqrt[1 - z]) z^3 + 2238390 (9 + 5 Sqrt[1 - z]) z^4 - 2720 (9542 + 3625 Sqrt[1 - z]) z^5 + 85 (223365 + 60977 Sqrt[1 - z]) z^6 - 76500 (113 + 20 Sqrt[1 - z]) z^7 + 21760 (104 + 9 Sqrt[1 - z]) z^8 - 261120 z^9)/ (391248 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(17/2))








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