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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.bm54.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 45/8, -(9/2), z] == -((1/(1098752 (1 - z)^(15/2))) (Sqrt[1 - z] (-1098752 + 4395008 z - 4442220 z^2 - 1297257 z^3 - 1464645 z^4 - 5565651 z^5 + 35910629 z^6 - 60237800 z^7 + 48281904 z^8 - 19393600 z^9 + 3155200 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-824064 + 3416432 z - 3737259 z^2 - 733932 z^3 - 826210 z^4 - 18337572 z^5 + 61083141 z^6 - 82151752 z^7 + 57584304 z^8 - 20971200 z^9 + 3155200 z^10) 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