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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=-37/8, b>=a > For fixed z and a=-37/8, b=39/8





http://functions.wolfram.com/07.23.03.bc6w.01









  


  










Input Form





Hypergeometric2F1[-(37/8), 39/8, -(9/4), z] == (1/(85560 2^(1/4) (-1 + z)^2)) ((1 + Sqrt[1 - z])^(1/4) (42780 + 345805 z + 2859843 z^2 - 136400928 z^3 + 478942464 z^4 - 563097600 z^5 + 217251840 z^6 + (1/Sqrt[1 - z]) (42780 + 324415 z + 2681593 z^2 + 297296508 z^3 - 1712299008 z^4 + 3393002496 z^5 - 2849832960 z^6 + 869007360 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