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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=-39/8, b>=a > For fixed z and a=-39/8, b=21/8





http://functions.wolfram.com/07.23.03.bac1.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, -(11/2), -z] == (1/(135168 (1 + z)^(25/8))) ((135168 + 103680 z - 43680 z^2 + 37817 z^3 - 45435 z^4 + 78832 z^5 - 324480 z^6 - 1013760 z^7 - 540672 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (33792 + 15360 z - 12948 z^2 + 13325 z^3 - 16315 z^4 + 26208 z^5 + 211200 z^6 + 135168 z^7) Sin[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