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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.aal8.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 5/4, 6, -z] == (1/(949024050975 Pi z^5)) (16384 (1 + z)^(1/4) (2 (1357824 + 11520288 z + 42455205 z^2 + 86912670 z^3 + 96486390 z^4 + 203734608 z^5 + 160951021 z^6 + 75525450 z^7 + 20050800 z^8 + 2328480 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (1357824 + 10501920 z + 34737885 z^2 + 62030280 z^3 + 53603550 z^4 + 53644668 z^5 + 29591485 z^6 + 8958180 z^7 + 1164240 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (1357824 + 11520288 z + 42455205 z^2 + 86912670 z^3 + 96486390 z^4 + 203734608 z^5 + 160951021 z^6 + 75525450 z^7 + 20050800 z^8 + 2328480 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