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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=15/8, b>=a > For fixed z and a=15/8, b=43/8





http://functions.wolfram.com/07.23.03.c5ks.01









  


  








Input Form





Hypergeometric2F1[15/8, 43/8, -(11/2), -z] == (1/(946176 (1 + z)^(95/8))) ((946176 + 11520768 z + 66689952 z^2 + 251143447 z^3 + 741841415 z^4 + 2229724574 z^5 + 14317816590 z^6 - 6971242173 z^7 - 467043941 z^8 - 45889256 z^9 - 2760256 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1655808 + 21299712 z + 131279820 z^2 + 528857203 z^3 + 1656377023 z^4 + 5019284270 z^5 - 14606287734 z^6 + 874612991 z^7 + 83627131 z^8 + 4830448 z^9) 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