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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=-31/8, b>=a > For fixed z and a=-31/8, b=5/8





http://functions.wolfram.com/07.23.03.bf3a.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 5/8, 21/4, z] == (1/(182648235 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (34224 - 316572 z + 1345431 z^2 - 3647708 z^3 + 11540618 z^4 - 3571176 z^5 + 1412039 z^6 - 347768 z^7 + 38976 z^8 + (1/Sqrt[1 - z]) (-34224 + 333684 z - 1499439 z^2 + 4282991 z^3 - 13214742 z^4 + 14665938 z^5 - 6355147 z^6 + 2277051 z^7 - 508080 z^8 + 51968 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