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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=-39/8, b>=a > For fixed z and a=-39/8, b=13/8





http://functions.wolfram.com/07.23.03.ba8e.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 13/8, 17/4, z] == (1/(25492775 z^4)) (8 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-4 (-12834 + 77717 z - 147591 z^2 - 389298 z^3 + 848140 z^4 - 903363 z^5 + 547389 z^6 - 180672 z^7 + 25344 z^8) + (1/Sqrt[1 - z]) (-51336 + 336536 z - 739381 z^2 - 1297660 z^3 + 5820826 z^4 - 8556692 z^5 + 7281787 z^6 - 3737952 z^7 + 1079040 z^8 - 135168 z^9)))








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