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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 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=-5/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(5/4), 9/2, z] == (1/(17658961551 Pi^(3/2) z^(7/2))) (4 (2 Sqrt[z] (66300 - 951405 z + 7886385 z^2 + 1019726382 z^3 + 1049192814 z^4 + 41585775 z^5 - 3811115 z^6 + 234080 z^7) EllipticE[(1/2) (1 - Sqrt[z])] + 2 Sqrt[z] (66300 - 951405 z + 7886385 z^2 + 1019726382 z^3 + 1049192814 z^4 + 41585775 z^5 - 3811115 z^6 + 234080 z^7) EllipticE[(1/2) (1 + Sqrt[z])] - (-132600 + 66300 Sqrt[z] + 2002260 z - 951405 z^(3/2) - 17184960 z^2 + 7886385 z^(5/2) + 179540400 z^3 + 1019726382 z^(7/2) + 1211035416 z^4 + 1049192814 z^(9/2) + 739546500 z^5 + 41585775 z^(11/2) - 936320 z^6 - 3811115 z^(13/2) + 58520 z^7 + 234080 z^(15/2)) EllipticK[(1/2) (1 - Sqrt[z])] - (132600 + 66300 Sqrt[z] - 2002260 z - 951405 z^(3/2) + 17184960 z^2 + 7886385 z^(5/2) - 179540400 z^3 + 1019726382 z^(7/2) - 1211035416 z^4 + 1049192814 z^(9/2) - 739546500 z^5 + 41585775 z^(11/2) + 936320 z^6 - 3811115 z^(13/2) - 58520 z^7 + 234080 z^(15/2)) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[1/4]^2)










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