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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.bqpi.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 39/8, -(9/2), -z] == (1/(666624 (1 + z)^(59/8))) ((666624 + 3555328 z + 6712740 z^2 + 3738259 z^3 - 2760023 z^4 + 4506873 z^5 + 14085791 z^6 + 13152160 z^7 + 5628672 z^8 + 946176 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (499968 + 2593584 z + 4673033 z^2 + 2201031 z^3 - 2270905 z^4 - 9336419 z^5 - 9287292 z^6 - 4118016 z^7 - 709632 z^8) 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