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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=-27/8, b>=a > For fixed z and a=-27/8, b=17/8





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









  


  










Input Form





Hypergeometric2F1[-(27/8), 17/8, 21/4, z] == (16 2^(1/4) (65208 - 321024 z + 519783 z^2 - 74613 z^3 + 353549 z^4 - 366503 z^5 + 169456 z^6 - 30464 z^7 + (1/Sqrt[1 - z]) (4 (-16302 + 88407 z - 168036 z^2 + 74613 z^3 + 293573 z^4 - 592824 z^5 + 480505 z^6 - 190400 z^7 + 30464 z^8))))/ (24283063 (1 + Sqrt[1 - z])^(1/4) z^4)










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