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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=-11/8





http://functions.wolfram.com/07.23.03.b6fl.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(11/8), 9/2, z] == (1/(313624632685 z^(7/2))) (256 (Sqrt[z] (-257520 + 4563469 z - 47763522 z^2 + 1878451299 z^3 + 5578601272 z^4 + 2190218355 z^5 - 138260682 z^6 + 19990381 z^7 - 2370012 z^8 + 148304 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((343360 - 6377912 z + 68870505 z^2 - 925340178 z^3 - 3429137457 z^4 + 2163757352 z^5 + 2256992231 z^6 - 147968890 z^7 + 21156849 z^8 - 2444164 z^9 + 148304 z^10) 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