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





http://functions.wolfram.com/07.23.03.bm0w.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 39/8, -(11/2), -z] == (1/(4190208 (1 + z)^(59/8))) ((4190208 + 19974912 z + 31834272 z^2 + 12513863 z^3 - 7810915 z^4 + 8280069 z^5 - 16924481 z^6 - 74909456 z^7 - 81956736 z^8 - 38860800 z^9 - 7028736 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (3142656 + 14522880 z + 21862812 z^2 + 6633039 z^3 - 6293651 z^4 + 7122157 z^5 + 48661395 z^6 + 57505440 z^7 + 28376832 z^8 + 5271552 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