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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=-29/8, b>=a > For fixed z and a=-29/8, b=39/8





http://functions.wolfram.com/07.23.03.bh5q.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 39/8, -(11/2), z] == (1/192749568) ((1/(1 - Sqrt[z])^(27/4)) (96374784 - 650529792 Sqrt[z] + 2179931904 z - 5051462400 z^(3/2) + 9316115040 z^2 - 14623290612 z^(5/2) + 20227201811 z^3 - 25068498192 z^(7/2) + 27948345120 z^4 - 27783043200 z^(9/2) + 23979250944 z^5 - 16913774592 z^(11/2) + 8770105344 z^6 - 2846638080 z^(13/2) + 421724160 z^7) + (1/(1 + Sqrt[z])^(27/4)) (96374784 + 650529792 Sqrt[z] + 2179931904 z + 5051462400 z^(3/2) + 9316115040 z^2 + 14623290612 z^(5/2) + 20227201811 z^3 + 25068498192 z^(7/2) + 27948345120 z^4 + 27783043200 z^(9/2) + 23979250944 z^5 + 16913774592 z^(11/2) + 8770105344 z^6 + 2846638080 z^(13/2) + 421724160 z^7))








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