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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=21/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 21/8, -(9/2), -z] == (1/(3072 (1 + z)^(11/2))) (Sqrt[1 + z] (3072 + 13312 z + 20356 z^2 + 10465 z^3 - 2070 z^4 + 2369 z^5 + 3588 z^6 + 1104 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (2304 + 10320 z + 16513 z^2 + 9315 z^3 - 1265 z^4 + 4025 z^5 + 4140 z^6 + 1104 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