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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=19/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 19/4, 5, z] == (1/(128246493375 Pi z^4)) (4096 (2 (-84864 - 180336 z - 568191 z^2 - 3220854 z^3 + 97459125 z^4 - 316800384 z^5 + 418494464 z^6 - 253689856 z^7 + 58720256 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 Sqrt[1 - z] (21216 + 50388 z + 157131 z^2 + 851955 z^3 - 8473500 z^4 + 16924416 z^5 - 13217792 z^6 + 3670016 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-84864 - 180336 z - 568191 z^2 - 3220854 z^3 + 97459125 z^4 - 316800384 z^5 + 418494464 z^6 - 253689856 z^7 + 58720256 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])]))








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