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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=1/8, b>=a > For fixed z and a=1/8, b=37/8





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









  


  










Input Form





Hypergeometric2F1[1/8, 37/8, -(11/2), z] == (1/630784) ((1/(1 - Sqrt[z])^(41/4)) (315392 - 3232768 Sqrt[z] + 14918400 z - 40776960 z^(3/2) + 72975840 z^2 - 89072172 z^(5/2) + 74751063 z^3 - 42415320 z^(7/2) + 15637680 z^4 - 3398080 z^(9/2) + 331520 z^5) + (1/(1 + Sqrt[z])^(41/4)) (315392 + 3232768 Sqrt[z] + 14918400 z + 40776960 z^(3/2) + 72975840 z^2 + 89072172 z^(5/2) + 74751063 z^3 + 42415320 z^(7/2) + 15637680 z^4 + 3398080 z^(9/2) + 331520 z^5))










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