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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=21/8





http://functions.wolfram.com/07.23.03.c73c.01









  


  








Input Form





Hypergeometric2F1[19/8, 21/8, -(9/2), -z] == (1/(3072 (1 + z)^(19/2))) (Sqrt[1 + z] (3072 + 32768 z + 165060 z^2 + 539805 z^3 + 1422892 z^4 + 5218686 z^5 - 5458152 z^6 + 368621 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (2304 + 24912 z + 127169 z^2 + 420817 z^3 + 1116410 z^4 + 7831778 z^5 - 5969099 z^6 + 368621 z^7) Sinh[(3 ArcSinh[Sqrt[z]])/4])








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