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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=-39/8, b>=a > For fixed z and a=-39/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[-(39/8), 45/8, -(7/2), z] == (1/3845632) ((1/(1 + Sqrt[z])^(17/4)) (1922816 + 8171968 Sqrt[z] + 28344368 z + 73985496 z^(3/2) + 184503423 z^2 + 406920228 z^(5/2) + 935364144 z^3 + 2003299584 z^(7/2) + 5774216448 z^4 + 11538109440 z^(9/2) - 2930982912 z^5 - 48751312896 z^(11/2) - 75038785536 z^6 - 47501279232 z^(13/2) - 11176771584 z^7) + (1/(1 - Sqrt[z])^(17/4)) (1922816 - 8171968 Sqrt[z] + 28344368 z - 73985496 z^(3/2) + 184503423 z^2 - 406920228 z^(5/2) + 935364144 z^3 - 2003299584 z^(7/2) + 5774216448 z^4 - 11538109440 z^(9/2) - 2930982912 z^5 + 48751312896 z^(11/2) - 75038785536 z^6 + 47501279232 z^(13/2) - 11176771584 z^7))










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