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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 3 and fixed z > For fixed z and a=-5/3, b>=a > For fixed z and a=-5/3, b=17/3





http://functions.wolfram.com/07.23.03.6840.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 17/3, -(11/2), -z] == ((193995648 + 1520612352 z + 4912790400 z^2 + 7977535744 z^3 + 5619587840 z^4 - 647420928 z^5 + 1919140608 z^6 + 5096784705 z^7 + 5136531028 z^8 + 2779384400 z^9 + 805472512 z^10 + 98894848 z^11) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-64665216 - 461365632 z - 1317899520 z^2 - 1764790784 z^3 - 716787456 z^4 + 624298752 z^5 + 3346119741 z^6 + 4017986380 z^7 + 2413733712 z^8 + 756025088 z^9 + 98894848 z^10) Sinh[ArcSinh[Sqrt[z]]/3])/(193995648 (1 + z)^(19/2))










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