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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=5/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 5/8, -(11/2), z] == -((1/(135168 (1 - z)^(7/2))) (Sqrt[1 - z] (-135168 + 403200 z - 388192 z^2 + 107387 z^3 + 9453 z^4 + 3680 z^5 + 2760 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-25344 + 79296 z - 81501 z^2 + 25507 z^3 + 1817 z^4 + 575 z^5 + 690 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