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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=23/8, b>=a > For fixed z and a=23/8, b=27/8





http://functions.wolfram.com/07.23.03.c8po.01









  


  








Input Form





Hypergeometric2F1[23/8, 27/8, -(7/2), -z] == (1/(1792 (1 + z)^(71/8))) ((1792 + 18128 z + 94127 z^2 + 402556 z^3 + 3188570 z^4 - 2747668 z^5 + 138159 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + 8 Sqrt[z] (392 + 4235 z + 23485 z^2 + 104027 z^3 - 514789 z^4 + 119530 z^5) 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