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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=-15/8, b>=a > For fixed z and a=-15/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 45/8, 21/4, z] == (1/(118561135 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (9360 + 22500 z + 60565 z^2 + 229731 z^3 + 3280032 z^4 - 8929536 z^5 + 5271552 z^6 + (1/Sqrt[1 - z]) (-9360 - 17820 z - 48145 z^2 - 196051 z^3 - 3155824 z^4 + 14308224 z^5 - 17909760 z^6 + 7028736 z^7)))








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