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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=43/8, b>=a > For fixed z and a=43/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[43/8, 45/8, 1/2, z] == (1/(428127 (1 - z)^(21/2))) (Sqrt[1 - z] (428127 + 20088921 z + 99074790 z^2 + 107267458 z^3 + 26304779 z^4 + 853461 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (2184699 + 40683241 z + 140960142 z^2 + 126260754 z^3 + 27747751 z^4 + 853461 z^5) 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