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





http://functions.wolfram.com/07.23.03.b9a2.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, -(21/4), z] == (-1881152 - 201552 z - 5928 z^2 + 214111 z^3 + 647577 z^4 + 2138640 z^5 + 24157056 z^6 - 48269312 z^7 + 22364160 z^8 + (1/Sqrt[1 - z]) (-1881152 + 739024 z + 329992 z^2 + 359841 z^3 + 627342 z^4 + 1847769 z^5 + 23037728 z^6 - 86186240 z^7 + 89829376 z^8 - 29818880 z^9))/(1881152 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^3)








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