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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=-13/8, b>=a > For fixed z and a=-13/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 39/8, -(11/2), -z] == (1/(946176 (1 + z)^(67/8))) ((946176 + 6295296 z + 16707488 z^2 + 20798531 z^3 + 8245132 z^4 - 5520046 z^5 + 8245132 z^6 + 20798531 z^7 + 16707488 z^8 + 6295296 z^9 + 946176 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 Sqrt[z] (-177408 - 1154496 z - 2970219 z^2 - 3502363 z^3 - 1117984 z^4 + 1117984 z^5 + 3502363 z^6 + 2970219 z^7 + 1154496 z^8 + 177408 z^9) Sin[(3 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