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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=17/8, b>=a > For fixed z and a=17/8, b=45/8





http://functions.wolfram.com/07.23.03.c6q9.01









  


  










Input Form





Hypergeometric2F1[17/8, 45/8, -(19/4), z] == (1/(4566688 2^(3/4) (-1 + z)^12)) ((1 + Sqrt[1 - z])^(3/4) (2283344 - 32717916 z + 229498605 z^2 - 1091002794 z^3 + 4355387475 z^4 + 387554976888 z^5 + 261808644003 z^6 + 1663821150 z^7 - 149760659 z^8 + 8042640 z^9 + (1/Sqrt[1 - z]) (2283344 - 33859588 z + 245572145 z^2 - 1201805066 z^3 + 4874157223 z^4 - 433516854632 z^5 - 410213338481 z^6 - 34812232130 z^7 + 2388630569 z^8 - 208840552 z^9 + 10723520 z^10)))










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