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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=-45/8, b>=a > For fixed z and a=-45/8, b=39/8





http://functions.wolfram.com/07.23.03.b75x.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 39/8, -(7/2), -z] == (1/(1277696 (1 + z)^(19/8))) ((1277696 - 7335344 z + 34930583 z^2 - 198971919 z^3 + 2546026032 z^4 + 42646745856 z^5 + 125095100416 z^6 + 133667815424 z^7 + 48432676864 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 Sqrt[z] (-479136 + 2820628 z - 13526323 z^2 + 76688854 z^3 + 11373831040 z^4 + 40593952256 z^5 + 47476768768 z^6 + 18162253824 z^7) 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