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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(59/8))) ((1277696 + 5578512 z + 5914335 z^2 - 5135739 z^3 + 10795533 z^4 + 56788167 z^5 + 84850864 z^6 + 63181440 z^7 + 24127488 z^8 + 3784704 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-958272 - 4044136 z - 3878007 z^2 + 4297251 z^3 + 35435195 z^4 + 57636201 z^5 + 44902368 z^6 + 17681664 z^7 + 2838528 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