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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=11/8, b>=a > For fixed z and a=11/8, b=13/8





http://functions.wolfram.com/07.23.03.c36i.01









  


  








Input Form





Hypergeometric2F1[11/8, 13/8, -(11/2), -z] == (1/(12288 (1 + z)^(17/2))) ((-Sqrt[1 + z]) (-12288 - 106752 z - 415520 z^2 - 960757 z^3 - 1491428 z^4 - 1745582 z^5 - 2375140 z^6 + 435643 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-9216 - 81408 z - 322476 z^2 - 759317 z^3 - 1199996 z^4 - 1423278 z^5 - 2852576 z^6 + 435643 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