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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=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), -(3/8), 9/2, -z] == -((1/(573989955 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-9360 - 88179 z - 430248 z^2 - 4463282 z^3 + 3088716 z^4 + 186093 z^5 + 14260 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (12480 + 128232 z + 673673 z^2 + 3447808 z^3 - 111130 z^4 - 3179980 z^5 - 193223 z^6 - 14260 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