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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=-29/8, b>=a > For fixed z and a=-29/8, b=-17/8





http://functions.wolfram.com/07.23.03.bgc9.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(17/8), 11/2, -z] == -((1024 (4 Sqrt[z] (-336 - 5150 z - 41158 z^2 - 258687 z^3 - 11742445 z^4 + 22809124 z^5 - 8048280 z^6 + 347097 z^7 + 5883 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + (1792 + 27728 z + 223455 z^2 + 1410786 z^3 + 13043745 z^4 - 82767828 z^5 + 66726673 z^6 - 9567550 z^7 - 17649 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (38228665475 z^(9/2) (1 + z)^(3/8)))








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