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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=-7/8, b>=a > For fixed z and a=-7/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 39/8, -(9/2), -z] == (1/(2190336 (1 + z)^(17/2))) (-2 Sqrt[1 + z] (-1095168 - 7757440 z - 22480890 z^2 - 31900333 z^3 - 15052856 z^4 + 26342498 z^5 + 41111850 z^6 + 27142115 z^7 + 9090224 z^8 + 1260688 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-547584 - 4049840 z - 12379819 z^2 - 18990042 z^3 - 11289642 z^4 + 88049104 z^5 + 107250845 z^6 + 63059282 z^7 + 19441136 z^8 + 2521376 z^9) Sinh[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