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





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









  


  








Input Form





Hypergeometric2F1[-(33/8), 43/8, -(9/2), -z] == (1/(1225728 (1 + z)^(39/8))) (-4 (-306432 + 485184 z - 287907 z^2 - 306432 z^3 + 2010162 z^4 - 12758823 z^5 - 16717120 z^6 + 21595392 z^7 + 38764544 z^8 + 14483456 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (2145024 - 1921584 z + 602091 z^2 + 2662926 z^3 - 12293589 z^4 + 131470688 z^5 + 381285632 z^6 + 341053440 z^7 + 101384192 z^8) 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