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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=-17/3, b>=a > For fixed z and a=-17/3, b=8/3





http://functions.wolfram.com/07.23.03.4778.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 8/3, -(9/2), -z] == (1/(32805 (1 + z)^(3/2))) ((-(-32805 + 59130 z - 112365 z^2 + 245924 z^3 - 717392 z^4 + 4759040 z^5 + 17199104 z^6 + 11128832 z^7)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (10935 - 27405 z + 57580 z^2 - 125008 z^3 + 332800 z^4 + 11634688 z^5 + 11128832 z^6) Sinh[ArcSinh[Sqrt[z]]/3])








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