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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=-15/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), -(15/8), 11/2, -z] == -((1024 (4 Sqrt[z] (-80 - 1150 z - 8516 z^2 - 48697 z^3 - 1255177 z^4 + 2572480 z^5 - 921310 z^6 + 38743 z^7 + 731 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + (256 + 3632 z + 26569 z^2 + 150830 z^3 + 1251415 z^4 - 9167180 z^5 + 7602695 z^6 - 1092914 z^7 - 3655 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/(3503005363 z^(9/2) (1 + z)^(5/8)))








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