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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=9/4, b>=a > For fixed z and a=9/4, b=6





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









  


  








Input Form





Hypergeometric2F1[9/4, 6, -(17/4), z] == (1/(21760 (-1 + z)^13)) (4 (-5440 + 88000 z - 709440 z^2 + 3994560 z^3 - 20388288 z^4 + 241783104 z^5 + 106922861 z^6 - 294231017 z^7 - 40852350 z^8 + 3723566 z^9 - 343343 z^10 + 17787 z^11) - 231 Sqrt[1 - z] z^(21/4) (-2419615 - 2419615 z - 166870 z^2 + 15170 z^3 - 1435 z^4 + 77 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