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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=-47/8, b>=a > For fixed z and a=-47/8, b=-9/8





http://functions.wolfram.com/07.23.03.b4y9.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(9/8), 11/2, -z] == (1024 (Sqrt[z] Sqrt[1 + z] (15012928 + 247981400 z + 2132740573 z^2 + 14323070554 z^3 + 4079011822299 z^4 - 5219524722888 z^5 + 353974325235 z^6 + 50149103586 z^7 + 8093876133 z^8 + 970631508 z^9 + 59487120 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - (60051712 + 1033211152 z + 9207985025 z^2 + 63078324987 z^3 + 597191186761 z^4 - 1070156881593 z^5 - 1280856648297 z^6 + 378095483265 z^7 + 54078430659 z^8 + 8571755997 z^9 + 1000375068 z^10 + 59487120 z^11) Sinh[ArcSinh[Sqrt[z]]/4]))/ (4033941122312475 z^(9/2) Sqrt[1 + z])










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