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





http://functions.wolfram.com/07.23.03.6415.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 17/3, -(9/2), -z] == (1/(367416 (1 + z)^(15/2))) ((-(-367416 - 1542240 z - 1738656 z^2 + 233024 z^3 - 385616 z^4 + 2207744 z^5 + 10179115 z^6 + 15400008 z^7 + 11589968 z^8 + 4442048 z^9 + 695552 z^10)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (122472 + 427896 z + 287848 z^2 - 251944 z^3 + 314776 z^4 + 5627399 z^5 + 11053432 z^6 + 9629776 z^7 + 4094272 z^8 + 695552 z^9) 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