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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=9/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, 6, -z] == (1/(316341350325 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-1357824 - 8380320 z - 19297941 z^2 - 15723708 z^3 + 9291282 z^4 + 77917532 z^5 + 105327915 z^6 + 69893208 z^7 + 23983344 z^8 + 3415104 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-1357824 - 7361952 z - 13935597 z^2 - 6075069 z^3 + 12507495 z^4 + 29674337 z^5 + 25448346 z^6 + 10426416 z^7 + 1707552 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-1357824 - 8380320 z - 19297941 z^2 - 15723708 z^3 + 9291282 z^4 + 77917532 z^5 + 105327915 z^6 + 69893208 z^7 + 23983344 z^8 + 3415104 z^9) EllipticK[1/2 - 1/(2 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