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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=45/8





http://functions.wolfram.com/07.23.03.bm60.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 45/8, 11/2, z] == (1/(5470749515 z^(9/2))) (1024 ((-Sqrt[z]) (-6720 - 15880 z - 41391 z^2 - 146097 z^3 - 6567576 z^4 + 23522832 z^5 - 26193600 z^6 + 9465600 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((8960 + 13520 z + 36803 z^2 + 146790 z^3 + 1464687 z^4 - 15646392 z^5 + 35436432 z^6 - 30926400 z^7 + 9465600 z^8) Sin[(3 ArcSin[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