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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=-21/4, b>=a > For fixed z and a=-21/4, b=5





http://functions.wolfram.com/07.23.03.a8wb.01









  


  










Input Form





Hypergeometric2F1[-(21/4), 5, 6, z] == -((1/(2419615 z^5)) (4 (2048 (-1 + (1 - z)^(1/4)) + 512 (1 - z)^(1/4) z + 320 (1 - z)^(1/4) z^2 + 240 (1 - z)^(1/4) z^3 + 195 (1 - z)^(1/4) z^4 - 604738 (1 - z)^(1/4) z^5 + 2495373 (1 - z)^(1/4) z^6 - 4253100 (1 - z)^(1/4) z^7 + 3706925 (1 - z)^(1/4) z^8 - 1642850 (1 - z)^(1/4) z^9 + 295075 (1 - z)^(1/4) z^10)))










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