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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=-29/8, b>=a > For fixed z and a=-29/8, b=-23/8





http://functions.wolfram.com/07.23.03.bg9k.01









  


  










Input Form





Hypergeometric2F1[-(29/8), -(23/8), 5, z] == (65536 2^(1/4) (2 Sqrt[1 - z] (-14343168 + 242788000 z - 2307676595 z^2 + 21057540175 z^3 + 292202929730 z^4 + 327506758910 z^5 + 64558393025 z^6 + 890219715 z^7) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + Sqrt[2 - 2 Sqrt[1 - z]] Sqrt[1 - z] (-14343168 + 242788000 z - 2307676595 z^2 + 21057540175 z^3 + 292202929730 z^4 + 327506758910 z^5 + 64558393025 z^6 + 890219715 z^7) EllipticE[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] - Sqrt[1 - z] (-14343168 + 242788000 z - 2307676595 z^2 + 21057540175 z^3 + 292202929730 z^4 + 327506758910 z^5 + 64558393025 z^6 + 890219715 z^7) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])] + 8 (1792896 - 31469060 z + 307243545 z^2 - 2809454025 z^3 + 64969501690 z^4 + 185648159370 z^5 + 95418531645 z^6 + 8563998835 z^7) EllipticK[2 - (2 Sqrt[2])/(Sqrt[2] + Sqrt[1 - Sqrt[1 - z]])]))/ (26182397375909775 Pi Sqrt[Sqrt[2] + Sqrt[1 - Sqrt[1 - z]]] 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