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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=19/8, b>=a > For fixed z and a=19/8, b=37/8





http://functions.wolfram.com/07.23.03.c7fg.01









  


  










Input Form





Hypergeometric2F1[19/8, 37/8, -(9/2), z] == -((1/(1870848 (1 - z)^(23/2))) (Sqrt[1 - z] (-1870848 + 25672192 z - 172436900 z^2 + 788559967 z^3 - 3102397235 z^4 + 18597839722 z^5 + 39799828822 z^6 + 8262639715 z^7 - 192788783 z^8 + 7372420 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-1403136 + 19458768 z - 132007681 z^2 + 608616562 z^3 - 2402441055 z^4 + 32234905904 z^5 + 46853752753 z^6 + 8358112554 z^7 - 196474993 z^8 + 7372420 z^9) Sin[(3 ArcSin[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