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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=-43/8, b>=a > For fixed z and a=-43/8, b=33/8





http://functions.wolfram.com/07.23.03.b84b.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 33/8, -(9/2), -z] == (1/(261120 (1 + z)^(21/8))) (2 (130560 - 402560 z + 966450 z^2 - 2350165 z^3 + 7081350 z^4 - 46316160 z^5 + 186334720 z^6 + 562298880 z^7 + 318636032 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-326400 + 945200 z - 2228955 z^2 + 5424955 z^3 - 16605600 z^4 + 733148416 z^5 + 1555107840 z^6 + 796590080 z^7) Sin[(5 ArcTan[Sqrt[z]])/4])








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