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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=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn25.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, -(7/2), -z] == (1/(761600 (1 + z)^(45/8))) ((761600 + 1040400 z - 1333905 z^2 + 984810 z^3 + 1816875 z^4 - 12435920 z^5 - 25845120 z^6 - 18192384 z^7 - 4472832 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (952000 + 1479000 z - 1419075 z^2 + 930750 z^3 + 21745801 z^4 + 36596448 z^5 + 23788800 z^6 + 5591040 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