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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=27/8, b>=a > For fixed z and a=27/8, b=29/8





http://functions.wolfram.com/07.23.03.ca89.01









  


  








Input Form





Hypergeometric2F1[27/8, 29/8, -(7/2), z] == (1/(1792 (1 - z)^(21/2))) (Sqrt[1 - z] (1792 - 24688 z + 175287 z^2 - 966287 z^3 + 7814870 z^4 + 23814978 z^5 + 8923459 z^6 + 368621 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (1344 - 18712 z + 134043 z^2 - 742287 z^3 + 14737742 z^4 + 29489034 z^5 + 9507591 z^6 + 368621 z^7) 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