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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.bqtx.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, -(5/2), -z] == (1/(68672 (1 + z)^(13/2))) (4 Sqrt[1 + z] (17168 + 45066 z - 22533 z^2 + 75110 z^3 + 487143 z^4 + 868998 z^5 + 750516 z^6 + 325584 z^7 + 57120 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (51504 + 142709 z - 52577 z^2 + 983231 z^3 + 3383781 z^4 + 4828512 z^5 + 3624672 z^6 + 1416576 z^7 + 228480 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