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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=35/8





http://functions.wolfram.com/07.23.03.b9fm.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, 19/4, z] == (8 2^(3/4) (-153340 - 338045 z - 1202325 z^2 + 321253553 z^3 - 1431060419 z^4 + 2622115872 z^5 - 2439533824 z^6 + 1146695680 z^7 - 217251840 z^8 + (1/Sqrt[1 - z]) (153340 + 261375 z + 1014135 z^2 + 339236153 z^3 - 1983880383 z^4 + 4809453588 z^5 - 6228544000 z^6 + 4548989952 z^7 - 1776353280 z^8 + 289669120 z^9)))/ (5289141663 (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