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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=-35/8, b>=a > For fixed z and a=-35/8, b=17/8





http://functions.wolfram.com/07.23.03.bcx4.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 17/8, 4, z] == (2048 2^(1/4) (2 Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (1 - z)^(1/4) (401280 - 1163085 z - 855855 z^2 + 11470453 z^3 - 22097593 z^4 + 19793760 z^5 - 8807680 z^6 + 1576960 z^7) EllipticE[1/2 - (1 - z)^(1/4)/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - (401280 - 1313565 z - 460845 z^2 + 3570253 z^3 - 6278191 z^4 + 5326188 z^5 - 2275840 z^6 + 394240 z^7) EllipticK[1/2 - (1 - z)^(1/4)/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - Sqrt[2] Sqrt[1 + Sqrt[1 - z]] (1 - z)^(1/4) (401280 - 1163085 z - 855855 z^2 + 11470453 z^3 - 22097593 z^4 + 19793760 z^5 - 8807680 z^6 + 1576960 z^7) EllipticK[1/2 - (1 - z)^(1/4)/ (Sqrt[2] Sqrt[1 + Sqrt[1 - z]])] - Sqrt[1 - z] (401280 - 1163085 z - 855855 z^2 + 11470453 z^3 - 22097593 z^4 + 19793760 z^5 - 8807680 z^6 + 1576960 z^7) EllipticK[1/2 - (1 - z)^(1/4)/(Sqrt[2] Sqrt[1 + Sqrt[1 - z]])]))/ (8518193145 Pi (1 + Sqrt[1 - z])^(1/4) z^3)










Standard Form





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MathML Form







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</math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02