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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=-35/8, b>=a > For fixed z and a=-35/8, b=17/8





http://functions.wolfram.com/07.23.03.bcx9.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 17/8, 21/4, z] == (16 2^(1/4) (4 (81510 - 454575 z + 849585 z^2 - 149226 z^3 + 921876 z^4 - 1281511 z^5 + 891157 z^6 - 320960 z^7 + 47872 z^8) + (1/Sqrt[1 - z]) (-326040 + 1981320 z - 4266735 z^2 + 2089164 z^3 + 11298030 z^4 - 27861436 z^5 + 29915937 z^6 - 17726240 z^7 + 5661952 z^8 - 765952 z^9)))/(239361621 (1 + Sqrt[1 - z])^(1/4) z^4)








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