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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=5/8, b>=a > For fixed z and a=5/8, b=33/8





http://functions.wolfram.com/07.23.03.c07v.01









  


  








Input Form





Hypergeometric2F1[5/8, 33/8, -(19/4), z] == (-51680 + 496400 z - 2173790 z^2 + 5815955 z^3 - 11074480 z^4 + 19679370 z^5 + 2161782 z^6 - 409317 z^7 + 39216 z^8 + (1/Sqrt[1 - z]) (2 (-25840 + 261120 z - 1207765 z^2 + 3422015 z^3 - 6869870 z^4 + 12303750 z^5 + 25169319 z^6 - 4879941 z^7 + 872556 z^8 - 78432 z^9)))/(51680 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