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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=-39/8, b>=a > For fixed z and a=-39/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 23/8, 9/2, -z] == (1/(5435418483 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (148304 + 287339 z - 324415 z^2 + 22965153 z^3 + 77179707 z^4 + 111605472 z^5 + 85211808 z^6 + 33841280 z^7 + 5537664 z^8) Cosh[ArcSinh[Sqrt[z]]/4] - 4 (148304 + 389298 z - 139035 z^2 + 1492309 z^3 + 12939889 z^4 + 31057433 z^5 + 37581830 z^6 + 25360060 z^7 + 9152528 z^8 + 1384416 z^9) Sinh[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