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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=-21/8, b>=a > For fixed z and a=-21/8, b=-19/8





http://functions.wolfram.com/07.23.03.bl4t.01









  


  








Input Form





Hypergeometric2F1[-(21/8), -(19/8), 9/2, -z] == -((1/(2452502535 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-4560 - 65303 z - 541975 z^2 - 15367094 z^3 + 37153714 z^4 - 14170435 z^5 + 636709 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (6080 + 92264 z + 796803 z^2 + 8330455 z^3 - 21681122 z^4 - 16092906 z^5 + 12571343 z^6 - 636709 z^7) Sinh[(3 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