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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=-19/4, b>=a > For fixed z and a=-19/4, b=6





http://functions.wolfram.com/07.23.03.a9y0.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 6, 23/4, z] == (1/(22246588416 z^(19/4))) (-4 z^(3/4) (-337953 - 1142603 z - 3985212 z^2 - 18205572 z^3 - 5724909158 z^4 + 31205431470 z^5 - 66613236732 z^6 + 70335427932 z^7 - 36866954817 z^8 + 7688830149 z^9) + 4389 (1 - z)^(9/2) (-231 - 1771 z - 8694 z^2 - 38502 z^3 - 224595 z^4 + 1751841 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