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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=-19/8, b>=a > For fixed z and a=-19/8, b=25/8





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









  


  








Input Form





Hypergeometric2F1[-(19/8), 25/8, -(11/4), z] == -((-31416 (1 + Sqrt[1 - z]) + 1428 (19 + 8 Sqrt[1 - z]) z + 51 (412 + 447 Sqrt[1 - z]) z^2 + 51 (1172 + 1385 Sqrt[1 - z]) z^3 - 20 (36289 + 8540 Sqrt[1 - z]) z^4 + 8960 (101 + 9 Sqrt[1 - z]) z^5 - 322560 z^6)/(31416 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(7/2)))








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