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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=19/8





http://functions.wolfram.com/07.23.03.b96w.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, 5/2, -z] == -((16 (Sqrt[z] (-24395 - 1335145 z - 3820593 z^2 - 1613987 z^3 + 6933808 z^4 + 11342464 z^5 + 6809600 z^6 + 1490944 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - (-13940 + 170765 z + 4428375 z^2 + 17788519 z^3 + 31620785 z^4 + 29163232 z^5 + 13710592 z^6 + 2609152 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (25875395 z^(3/2) (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