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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 8 and fixed z and a<0 > For fixed z and a=-45/8, b>=a > For fixed z and a=-45/8, b=2





http://functions.wolfram.com/07.23.03.b6t6.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 2, 6, z] == -((1/(97335931 z^5)) (256 (-4096 (-1 + (1 - z)^(5/8)) + 640 (-51 + 47 (1 - z)^(5/8)) z - 80 (-1309 + 1080 (1 - z)^(5/8)) z^2 + 5 (-30107 + 19968 (1 - z)^(5/8)) z^3 + 53760 (1 - z)^(5/8) z^4 - 338688 (1 - z)^(5/8) z^5 + 510720 (1 - z)^(5/8) z^6 - 422400 (1 - z)^(5/8) z^7 + 207360 (1 - z)^(5/8) z^8 - 56960 (1 - z)^(5/8) z^9 + 6784 (1 - z)^(5/8) 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