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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=31/8





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









  


  








Input Form





Hypergeometric2F1[-(5/8), 31/8, -(21/4), z] == (1/(1576512 2^(1/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(1/4) (788256 - 5893152 z + 18732534 z^2 - 32216928 z^3 + 30315380 z^4 - 9674168 z^5 + 8865126 z^6 - 3287672 z^7 + 480704 z^8 + (1/Sqrt[1 - z]) (788256 - 6287280 z + 21580578 z^2 - 40895817 z^3 + 44419808 z^4 - 21766878 z^5 - 62073050 z^6 + 44343871 z^7 - 14472624 z^8 + 1922816 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