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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=-9/8, b>=a > For fixed z and a=-9/8, b=27/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 27/8, -(21/4), z] == (1881152 (1 + Sqrt[1 - z]) - 67184 (195 + 181 Sqrt[1 - z]) z + 5928 (6415 + 5429 Sqrt[1 - z]) z^2 - 19 (3035803 + 2262693 Sqrt[1 - z]) z^3 + 3021 (14692 + 8681 Sqrt[1 - z]) z^4 + 373065 (-22 + 3 Sqrt[1 - z]) z^5 - 124355 (60 + 43 Sqrt[1 - z]) z^6 + 85 (123987 + 35480 Sqrt[1 - z]) z^7 - 20400 (229 + 28 Sqrt[1 - z]) z^8 + 761600 z^9)/ (1881152 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