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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=-35/8, b>=a > For fixed z and a=-35/8, b=-15/8





http://functions.wolfram.com/07.23.03.bck8.01









  


  








Input Form





Hypergeometric2F1[-(35/8), -(15/8), 9/2, -z] == -((256 (Sqrt[z] (-400 - 6785 z - 68110 z^2 - 3314399 z^3 + 9947740 z^4 - 5433295 z^5 + 364210 z^6 + 15695 z^7 + 688 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 (80 + 1342 z + 13370 z^2 + 177415 z^3 - 1821655 z^4 + 2255660 z^5 - 507836 z^6 - 4945 z^7 - 215 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/(618177417 z^(7/2) (1 + z)^(5/8)))








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