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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=1/8, b>=a > For fixed z and a=1/8, b=45/8





http://functions.wolfram.com/07.23.03.by5r.01









  


  










Input Form





Hypergeometric2F1[1/8, 45/8, -(11/4), z] == (1/(8592584 2^(3/4) (-1 + z)^8)) ((1 + Sqrt[1 - z])^(3/4) (4296292 - 34663265 z + 125150428 z^2 + 425155322 z^3 - 322442152 z^4 + 157938815 z^5 - 44706480 z^6 + 5564160 z^7 + (1/Sqrt[1 - z]) (4296292 - 36811411 z + 141945024 z^2 - 1053976242 z^3 + 928032888 z^4 - 607936851 z^5 + 261252860 z^6 - 65945600 z^7 + 7418880 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