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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=27/8, b>=a > For fixed z and a=27/8, b=39/8





http://functions.wolfram.com/07.23.03.cag8.01









  


  










Input Form





Hypergeometric2F1[27/8, 39/8, -(11/2), -z] == (1/(45056 (1 + z)^(107/8))) ((45056 + 724736 z + 5718048 z^2 + 30272411 z^3 + 127872602 z^4 + 529017489 z^5 + 3897823072 z^6 - 9450088019 z^7 + 3393126498 z^8 - 152223929 z^9 - 1908764 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (33792 + 538624 z + 4211116 z^2 + 22107657 z^3 + 92813006 z^4 + 383905379 z^5 - 8120926032 z^6 + 7022829919 z^7 - 1010292554 z^8 + 1431573 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