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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=-11/8





http://functions.wolfram.com/07.23.03.b9x1.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(11/8), 21/4, z] == (1/(74747406475 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (148304 - 2370012 z + 19990381 z^2 - 138260682 z^3 + 2190218355 z^4 + 5578601272 z^5 + 1878451299 z^6 - 47763522 z^7 + 4563469 z^8 - 257520 z^9 + (1/Sqrt[1 - z]) (-148304 + 2444164 z - 21156849 z^2 + 147968890 z^3 - 2256992231 z^4 - 2163757352 z^5 + 3429137457 z^6 + 925340178 z^7 - 68870505 z^8 + 6377912 z^9 - 343360 z^10)))








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