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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=14/3





http://functions.wolfram.com/07.23.03.4876.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, -(5/2), -z] == (1/(405 (1 + z)^(3/2))) ((-(-405 + 3654 z - 31277 z^2 + 558560 z^3 + 6356944 z^4 + 17555392 z^5 + 18604800 z^6 + 6809600 z^7)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (135 - 1313 z + 11360 z^2 + 2428048 z^3 + 10806592 z^4 + 15200000 z^5 + 6809600 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