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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=-29/8





http://functions.wolfram.com/07.23.03.b8q3.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(29/8), 7/2, -z] == -((64 (2 Sqrt[z] (-42 - 1309 z - 181818 z^2 + 1504789 z^3 - 2990988 z^4 + 1823549 z^5 - 312466 z^6 + 7595 z^7 + 98 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + (48 + 1463 z + 49763 z^2 - 1299025 z^3 + 4943939 z^4 - 5408403 z^5 + 1801345 z^6 - 138963 z^7 - 343 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/(17584287 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