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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=-25/8, b>=a > For fixed z and a=-25/8, b=27/8





http://functions.wolfram.com/07.23.03.bj95.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 27/8, -(17/4), z] == (1478048 (1 + Sqrt[1 - z]) - 43472 (75 + 58 Sqrt[1 - z]) z - 3762 (-229 + 57 Sqrt[1 - z]) z^2 - 209 (-1547 + 32 Sqrt[1 - z]) z^3 + 418 (1110 + 799 Sqrt[1 - z]) z^4 + 627 (6261 + 6412 Sqrt[1 - z]) z^5 - 224 (52945 + 25848 Sqrt[1 - z]) z^6 + 16128 (629 + 132 Sqrt[1 - z]) z^7 - 2838528 z^8)/(1478048 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(9/2))








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