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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 5 and fixed z > For fixed z and a=-26/5, b>=a > For fixed z and a=-26/5, b=1





http://functions.wolfram.com/07.23.03.ap42.01









  


  










Input Form





Hypergeometric2F1[-(26/5), 1, 6, z] == -((1/(4472649 z^5)) (25 (625 (-1 + (1 - z)^(1/5)) - 125 (-51 + 50 (1 - z)^(1/5)) z + 75 (-391 + 375 (1 - z)^(1/5)) z^2 + (80155 - 75000 (1 - z)^(1/5)) z^3 + 3 (-48093 + 43750 (1 - z)^(1/5)) z^4 - 157500 (1 - z)^(1/5) z^5 + 131250 (1 - z)^(1/5) z^6 - 75000 (1 - z)^(1/5) z^7 + 28125 (1 - z)^(1/5) z^8 - 6250 (1 - z)^(1/5) z^9 + 625 (1 - z)^(1/5) 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