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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.bgc5.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(17/8), 9/2, -z] == -((256 (Sqrt[z] (-48 - 767 z - 7227 z^2 - 479754 z^3 + 1123034 z^4 - 465027 z^5 + 22977 z^6 + 444 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] + (64 + 1032 z + 9783 z^2 + 120879 z^3 - 931194 z^4 + 892518 z^5 - 148397 z^6 - 333 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (99871695 z^(7/2) (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