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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=31/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 31/8, -(17/4), z] == (1/(37536 2^(1/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(1/4) (-18768 + 47748 z - 15249 z^2 - 17710 z^3 - 28865 z^4 + 136524 z^5 - 121344 z^6 + 33792 z^7 + (1/Sqrt[1 - z]) (-18768 + 57132 z - 36777 z^2 - 14881 z^3 - 20355 z^4 - 456431 z^5 + 868704 z^6 - 578304 z^7 + 135168 z^8)))








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