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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=23/8, b>=a > For fixed z and a=23/8, b=27/8





http://functions.wolfram.com/07.23.03.c8pe.01









  


  










Input Form





Hypergeometric2F1[23/8, 27/8, -(11/2), -z] == (1/(45056 (1 + z)^(87/8))) ((45056 + 500480 z + 2625056 z^2 + 8913047 z^3 + 23799501 z^4 + 66197054 z^5 + 415215570 z^6 - 237455381 z^7 + 8668929 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (39424 + 465024 z + 2614934 z^2 + 9577095 z^3 + 27300944 z^4 + 76304690 z^5 - 214763614 z^6 + 34944335 z^7) Sin[(7 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