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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=39/8, b>=a > For fixed z and a=39/8, b=43/8





http://functions.wolfram.com/07.23.03.cda4.01









  


  








Input Form





Hypergeometric2F1[39/8, 43/8, -(9/2), -z] == (1/(21504 (1 + z)^(111/8))) ((21504 + 390656 z + 3709820 z^2 + 26553891 z^3 + 193042850 z^4 + 2827537713 z^5 - 9978092488 z^6 + 6536777205 z^7 - 936830902 z^8 + 14448215 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (37632 + 709520 z + 6978363 z^2 + 51236822 z^3 + 372757385 z^4 - 6886409036 z^5 + 9695689885 z^6 - 3041300346 z^7 + 172630591 z^8) Sin[(7 ArcTan[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