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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, -(3/2), z] == (1/24) ((1/(1 - Sqrt[z])^(3/2)) (12 - 18 Sqrt[z] + 149 z - 216 z^(3/2) + 2520 z^2 - 13904 z^(5/2) - 6864 z^3 + 65472 z^(7/2) - 26048 z^4 - 63360 z^(9/2) + 42240 z^5) + (1/(1 + Sqrt[z])^(3/2)) (12 + 18 Sqrt[z] + 149 z + 216 z^(3/2) + 2520 z^2 + 13904 z^(5/2) - 6864 z^3 - 65472 z^(7/2) - 26048 z^4 + 63360 z^(9/2) + 42240 z^5))








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