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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=-41/8, b>=a > For fixed z and a=-41/8, b=19/8





http://functions.wolfram.com/07.23.03.b975.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, 19/4, z] == (8 2^(3/4) (-13940 + 59245 z - 41820 z^2 + 1828398 z^3 - 4385112 z^4 + 5044269 z^5 - 3224480 z^6 + 1106176 z^7 - 159744 z^8 + (1/Sqrt[1 - z]) (13940 - 66215 z + 69700 z^2 + 2023558 z^3 - 7268336 z^4 + 11471689 z^5 - 10352496 z^6 + 5552000 z^7 - 1656832 z^8 + 212992 z^9)))/(30930653 (1 + Sqrt[1 - z])^(3/4) z^3)








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