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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=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b805.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, -(7/2), z] == (1/60928) ((1/(1 + Sqrt[z])^(5/4)) (30464 + 38080 Sqrt[z] + 150960 z + 181560 z^(3/2) + 551055 z^2 + 653616 z^(5/2) + 2113440 z^3 + 2513280 z^(7/2) + 15079680 z^4 + 115681280 z^(9/2) + 66187264 z^5 - 175718400 z^(11/2) - 140574720 z^6) + (1/(1 - Sqrt[z])^(5/4)) (30464 - 38080 Sqrt[z] + 150960 z - 181560 z^(3/2) + 551055 z^2 - 653616 z^(5/2) + 2113440 z^3 - 2513280 z^(7/2) + 15079680 z^4 - 115681280 z^(9/2) + 66187264 z^5 + 175718400 z^(11/2) - 140574720 z^6))








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