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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=-41/8, b>=a > For fixed z and a=-41/8, b=-13/8





http://functions.wolfram.com/07.23.03.b8ud.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(13/8), 7/2, -z] == -((64 (4 Sqrt[z] (-287 - 6027 z - 409346 z^2 + 1852840 z^3 - 1472603 z^4 + 126037 z^5 + 10572 z^6 + 1198 z^7 + 80 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + (656 + 13325 z + 275766 z^2 - 4447981 z^3 + 8139604 z^4 - 2603645 z^5 - 80010 z^6 - 8771 z^7 - 560 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/(72849189 z^(5/2) (1 + z)^(7/8)))








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