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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=5/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 5/8, 11/2, -z] == (1/(3635269715 z^(9/2) Sqrt[1 + z])) (1024 (4 Sqrt[z] Sqrt[1 + z] (21840 + 170690 z + 594867 z^2 + 1256346 z^3 + 3147182 z^4 + 740094 z^5 + 181815 z^6 + 21390 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (116480 + 1009840 z + 3946319 z^2 + 9382100 z^3 + 17683666 z^4 + 13983356 z^5 + 3313311 z^6 + 770040 z^7 + 85560 z^8) 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