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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=-43/8, b>=a > For fixed z and a=-43/8, b=1/8





http://functions.wolfram.com/07.23.03.b7ph.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 1/8, 9/2, -z] == -((256 (Sqrt[z] (-17200 - 206615 z - 1291075 z^2 - 20096810 z^3 + 8758090 z^4 + 3234725 z^5 + 1414105 z^6 + 465740 z^7 + 96256 z^8 + 9216 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (-13760 - 162712 z - 1002287 z^2 - 6319495 z^3 + 23082490 z^4 + 4378330 z^5 + 1877429 z^6 + 604789 z^7 + 122480 z^8 + 11520 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/(3062134647 z^(7/2) (1 + z)^(5/8)))








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