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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=43/8





http://functions.wolfram.com/07.23.03.cda0.01









  


  










Input Form





Hypergeometric2F1[39/8, 43/8, -(21/4), z] == (-13888 + 280240 z - 2854728 z^2 + 20278247 z^3 - 121594865 z^4 + 792757203 z^5 - 15685776645 z^6 - 53286186987 z^7 - 40036799187 z^8 - 8122927295 z^9 - 326585455 z^10 + (1/Sqrt[1 - z]) (-13888 + 287184 z - 2993112 z^2 + 21671449 z^3 - 131394120 z^4 + 851187708 z^5 - 16068119144 z^6 - 64273121418 z^7 - 58806895224 z^8 - 16120031060 z^9 - 1153400640 z^10 - 9742215 z^11))/ (13888 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^15)










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