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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=5/8, b>=a > For fixed z and a=5/8, b=41/8





http://functions.wolfram.com/07.23.03.c0dc.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(7/2), -z] == (1/(1792 (1 + z)^(69/8))) ((1792 + 15696 z + 64095 z^2 + 175820 z^3 + 589050 z^4 + 175820 z^5 + 64095 z^6 + 15696 z^7 + 1792 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - 8 Sqrt[z] (-280 - 2505 z - 10476 z^2 - 29363 z^3 + 29363 z^4 + 10476 z^5 + 2505 z^6 + 280 z^7) Sin[(5 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