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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=-13/8, b>=a > For fixed z and a=-13/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, -(9/2), -z] == (1/(7691264 (1 + z)^(17/2))) (4 Sqrt[1 + z] (1922816 + 12017600 z + 27976329 z^2 + 23839914 z^3 - 7255626 z^4 + 14511252 z^5 + 59053765 z^6 + 73638778 z^7 + 47056068 z^8 + 15721328 z^9 + 2189600 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (5768448 + 36894032 z + 88660917 z^2 + 80848404 z^3 - 16929794 z^4 + 148880196 z^5 + 363552789 z^6 + 381353984 z^7 + 218572128 z^8 + 67264512 z^9 + 8758400 z^10) 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