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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=-29/8, b>=a > For fixed z and a=-29/8, b=23/8





http://functions.wolfram.com/07.23.03.bgv9.01









  


  










Input Form





Hypergeometric2F1[-(29/8), 23/8, -(21/4), z] == (1/(68544 2^(1/4) (-1 + z)^4)) ((1 + Sqrt[1 - z])^(1/4) (2 (17136 - 33456 z + 5733 z^2 + 5640 z^3 + 6725 z^4 + 10542 z^5 - 35712 z^6 + 16896 z^7) + (1/Sqrt[1 - z]) (34272 - 84048 z + 40638 z^2 + 11769 z^3 + 9220 z^4 + 13909 z^5 + 269664 z^6 - 378624 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