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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=-21/8, b>=a > For fixed z and a=-21/8, b=45/8





http://functions.wolfram.com/07.23.03.bm59.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 45/8, -(7/2), -z] == (1/(274688 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-274688 - 566544 z + 222111 z^2 - 316535 z^3 + 1593405 z^4 + 12581307 z^5 + 24881064 z^6 + 22954896 z^7 + 10428480 z^8 + 1893120 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-206016 - 454952 z + 123395 z^2 - 187775 z^3 + 5853009 z^4 + 22730307 z^5 + 35173272 z^6 + 27932496 z^7 + 11375040 z^8 + 1893120 z^9) 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