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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=-3/4, b>=a > For fixed z and a=-3/4, b=6





http://functions.wolfram.com/07.23.03.ah43.01









  


  








Input Form





Hypergeometric2F1[-(3/4), 6, -(17/4), z] == (1/(1357824 (-1 + z)^10)) (4 (339456 - 3035136 z + 11584512 z^2 - 23449600 z^3 + 21786112 z^4 + 28901376 z^5 - 94007641 z^6 + 105031969 z^7 - 69749778 z^8 + 28661402 z^9 - 6769301 z^10 + 706629 z^11) - 231 Sqrt[1 - z] z^(21/4) (-219965 + 307951 z - 233618 z^2 + 106190 z^3 - 27265 z^4 + 3059 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