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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/07.23.03.6844.01









  


  








Input Form





Hypergeometric2F1[-(5/3), 17/3, -(7/2), -z] == (1/(217728 (1 + z)^(15/2))) ((217728 + 1057536 z + 1477120 z^2 - 315392 z^3 + 1320704 z^4 + 4982791 z^5 + 6704972 z^6 + 4662320 z^7 + 1687296 z^8 + 252928 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-72576 - 301440 z - 285824 z^2 + 285824 z^3 + 2920555 z^4 + 4927508 z^5 + 3913520 z^6 + 1560832 z^7 + 252928 z^8) 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