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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi83.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(7/2), z] == (1/1523200) ((1/(1 - Sqrt[z])^(21/4)) (761600 - 3998400 Sqrt[z] + 12260400 z - 28964600 z^(3/2) + 58117815 z^2 - 104272560 z^(5/2) + 171645600 z^3 - 263894400 z^(7/2) + 376992000 z^4 - 439642112 z^(9/2) + 347762688 z^5 - 156549120 z^(11/2) + 29818880 z^6) + (1/(1 + Sqrt[z])^(21/4)) (761600 + 3998400 Sqrt[z] + 12260400 z + 28964600 z^(3/2) + 58117815 z^2 + 104272560 z^(5/2) + 171645600 z^3 + 263894400 z^(7/2) + 376992000 z^4 + 439642112 z^(9/2) + 347762688 z^5 + 156549120 z^(11/2) + 29818880 z^6))








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