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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=29/8





http://functions.wolfram.com/07.23.03.c3i1.01









  


  








Input Form





Hypergeometric2F1[11/8, 29/8, -(9/2), -z] == (1/(64512 (1 + z)^(19/2))) ((-Sqrt[1 + z]) (-64512 - 670208 z - 3255860 z^2 - 10100139 z^3 - 24481576 z^4 - 77162722 z^5 + 52277160 z^6 + 2245237 z^7 + 134044 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-48384 - 509712 z - 2510789 z^2 - 7888545 z^3 - 19273590 z^4 - 109292482 z^5 + 53383023 z^6 + 2312259 z^7 + 134044 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