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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=-29/8, b>=a > For fixed z and a=-29/8, b=45/8





http://functions.wolfram.com/07.23.03.bh9x.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 45/8, -(9/2), -z] == (1/(37888 (1 + z)^(13/2))) (2 Sqrt[1 + z] (18944 + 33152 z - 11322 z^2 + 12099 z^3 - 23865 z^4 + 151293 z^5 + 1333123 z^6 + 2822272 z^7 + 2729520 z^8 + 1283840 z^9 + 239360 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (28416 + 53872 z - 12321 z^2 + 12987 z^3 - 29785 z^4 + 1184121 z^5 + 4947918 z^6 + 8083024 z^7 + 6683040 z^8 + 2807040 z^9 + 478720 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