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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=21/8, b>=a > For fixed z and a=21/8, b=41/8





http://functions.wolfram.com/07.23.03.c8b3.01









  


  








Input Form





Hypergeometric2F1[21/8, 41/8, -(7/4), z] == (-340 + 5695 z - 74800 z^2 - 627590 z^3 - 413144 z^4 - 4161 z^5 + 228 z^6 + (-340 + 5865 z - 77605 z^2 - 1784710 z^3 - 2298926 z^4 - 317091 z^5 + 17271 z^6 - 912 z^7)/Sqrt[1 - z])/(340 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^9)








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