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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=-37/8, b>=a > For fixed z and a=-37/8, b=-19/8





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









  


  










Input Form





Hypergeometric2F1[-(37/8), -(19/8), 7/2, -z] == -((1/(1095799005 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (-12876 - 297221 z - 24177153 z^2 + 118939890 z^3 - 108155182 z^4 + 16763343 z^5 + 378603 z^6 + 14260 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (17168 + 410959 z + 9744986 z^2 - 72496739 z^3 + 11647544 z^4 + 76916089 z^5 - 16950862 z^6 - 385733 z^7 - 14260 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