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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=43/8





http://functions.wolfram.com/07.23.03.c90r.01









  


  








Input Form





Hypergeometric2F1[23/8, 43/8, -(7/2), -z] == (1/(8960 (1 + z)^(87/8))) ((8960 + 123280 z + 909643 z^2 + 5721177 z^3 + 65292150 z^4 - 122408902 z^5 + 22079855 z^6 + 823837 z^7 + 35088 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (7840 + 113260 z + 873467 z^2 + 5601750 z^3 - 60496678 z^4 + 35991508 z^5 - 741965 z^6 - 30702 z^7) 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