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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.bm5u.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 45/8, 7/2, z] == (1/(2419615 z^(5/2))) (64 ((-Sqrt[z]) (-36 - 387 z - 44376 z^2 + 239472 z^3 - 379200 z^4 + 185600 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((48 + 475 z + 8317 z^2 - 128312 z^3 + 405872 z^4 - 472000 z^5 + 185600 z^6) 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