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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=-13/8





http://functions.wolfram.com/07.23.03.b8ui.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(13/8), 19/4, z] == (8 2^(3/4) (-153340 + 2631175 z - 25698390 z^2 + 7919333321 z^3 + 15800620624 z^4 + 4858282953 z^5 - 115123470 z^6 + 10659399 z^7 - 588240 z^8 + (1/Sqrt[1 - z]) (153340 - 2707845 z + 26994810 z^2 + 7376133341 z^3 + 4471093776 z^4 - 9690274971 z^5 - 2332905918 z^6 + 165611619 z^7 - 14882472 z^8 + 784320 z^9)))/ (122463972351 (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