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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=-9/8, b>=a > For fixed z and a=-9/8, b=27/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 27/8, -(11/2), -z] == (1/(45056 (1 + z)^(55/8))) ((45056 + 209664 z + 334880 z^2 + 128359 z^3 - 197505 z^4 - 188727 z^5 + 57057 z^6 + 97200 z^7 + 26880 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (39424 + 210560 z + 436086 z^2 + 403469 z^3 + 87780 z^4 - 118503 z^5 - 101220 z^6 - 23520 z^7) Sin[(7 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