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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=-45/8, b>=a > For fixed z and a=-45/8, b=-17/8





http://functions.wolfram.com/07.23.03.b6e1.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(17/8), 9/2, -z] == -((256 (Sqrt[z] (-48 - 983 z - 12294 z^2 - 1323725 z^3 + 4568564 z^4 - 3085953 z^5 + 284922 z^6 + 16581 z^7 + 1320 z^8 + 64 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + (64 + 1320 z + 16581 z^2 + 284922 z^3 - 3085953 z^4 + 4568564 z^5 - 1323725 z^6 - 12294 z^7 - 983 z^8 - 48 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/(284619335 z^(7/2) (1 + z)^(3/8)))










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