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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=-19/8, b>=a > For fixed z and a=-19/8, b=33/8





http://functions.wolfram.com/07.23.03.bmy5.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 33/8, 7/2, -z] == -((64 (Sqrt[z] (4180 - 21945 z - 34689 z^2 + 884128 z^3 + 1843968 z^4 + 946176 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] - (3344 - 18183 z + 182457 z^2 + 1542884 z^3 + 2526720 z^4 + 1182720 z^5) Sin[(5 ArcTan[Sqrt[z]])/4]))/(16545165 z^(5/2) (1 + z)^(5/8)))








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