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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.bqps.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 39/8, -(5/2), -z] == (1/(228160 (1 + z)^(43/8))) ((228160 + 439208 z - 414253 z^2 + 948290 z^3 + 5326183 z^4 + 7319200 z^5 + 4295424 z^6 + 946176 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-171120 - 304451 z + 349370 z^2 + 3350009 z^3 + 5058396 z^4 + 3118080 z^5 + 709632 z^6) 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