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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=1/4, b>=a > For fixed z and a=1/4, b=6





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









  


  










Input Form





Hypergeometric2F1[1/4, 6, -(13/4), z] == (1/(79872 (-1 + z)^10)) (4 (19968 - 208896 z + 1008640 z^2 - 3076096 z^3 + 9481728 z^4 - 12525527 z^5 + 8396759 z^6 - 4320414 z^7 + 1512742 z^8 - 319627 z^9 + 30723 z^10) - 231 Sqrt[1 - z] z^(17/4) (-37555 + 26825 z - 15022 z^2 + 5698 z^3 - 1295 z^4 + 133 z^5) Beta[z, 3/4, 1/2])










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