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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=-37/8, b>=a > For fixed z and a=-37/8, b=13/8





http://functions.wolfram.com/07.23.03.bbq7.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 13/8, -(11/2), -z] == (1/(675840 (1 + z)^(5/2))) ((-Sqrt[1 + z]) (-675840 - 618240 z + 128800 z^2 - 83195 z^3 + 71961 z^4 - 78936 z^5 + 159120 z^6 + 297024 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-506880 - 537600 z + 75180 z^2 - 39005 z^3 + 31167 z^4 - 36504 z^5 + 307632 z^6 + 297024 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